Gradshteyn and Ryzhik

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Short description: Table of integrals compiled by I. S. Gradshteyn and I. M. Ryzhik

Table of Integrals, Series, and Products
Gradshteyn Ryzhik 7ed.jpg
Gradshteyn and Ryzhik, seventh English edition, 2007
AuthorRyzhik, Gradshteyn, Geronimus, Tseytlin et al.
CountryRussia
LanguageRussian, German, Polish, English, Japanese, Chinese
GenreMath
PublisherAcademic Press
Publication date
1943, 2015

Gradshteyn and Ryzhik (GR) is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik. Its full title today is Table of Integrals, Series, and Products.

Since its first publication in 1943, it was considerably expanded and it soon became a "classic" and highly regarded reference for mathematicians, scientists and engineers. After the deaths of the original authors, the work was maintained and further expanded by other editors.

At some stage a German and English dual-language translation became available, followed by Polish, English-only and Japanese versions. After several further editions, the Russian and German-English versions went out of print and have not been updated after the fall of the Iron Curtain, but the English version is still being actively maintained and refined by new editors, and it has recently been retranslated back into Russian as well.

Overview

One of the valuable characteristics of Gradshteyn and Ryzhik compared to similar compilations is that most listed integrals are referenced. The literature list contains 92 main entries and 140 additional entries (in the eighth English edition). The integrals are classified by numbers, which haven't changed from the fourth Russian up to the seventh English edition (the numbering in older editions as well as in the eighth English edition is not fully compatible). The book does not only contain the integrals, but also lists additional properties and related special functions. It also includes tables for integral transforms. Another advantage of Gradshteyn and Ryzhik compared to computer algebra systems is the fact that all special functions and constants used in the evaluation of the integrals are listed in a registry as well, thereby allowing reverse lookup of integrals based on special functions or constants.

On the downsides, Gradshteyn and Ryzhik has become known to contain a relatively high number of typographical errors even in newer editions, which has repeatedly led to the publication of extensive errata lists. Earlier English editions were also criticized for their poor translation of mathematical terms[1][2][3] and mediocre print quality.[1][2][4][5]

History

The work was originally compiled by the Russian mathematicians Iosif Moiseevich Ryzhik (Russian: Иосиф Моисеевич Рыжик, German: Jossif Moissejewitsch Ryschik)[6][nb 1] and Izrail Solomonovich Gradshteyn (Russian: Израиль Соломонович Градштейн, German: Israil Solomonowitsch Gradstein).[6][nb 2] While some contents were original, significant portions were collected from other previously existing integral tables like David Bierens de Haan's Nouvelles tables d'intégrales définies (1867),[6][7] Václav Jan Láska's Sammlung von Formeln der reinen und angewandten Mathematik (1888–1894)[6][8] or Edwin Plimpton Adams' and Richard Lionel Hippisley's Smithsonian Mathematical Formulae and Tables of Elliptic Functions (1922).[6][9]

The first edition, which contained about 5 000 formulas,[10][11][nb 3] was authored by Ryzhik,[nb 1] who had already published a book on special functions in 1936[6][12] and died during World War II around 1941.[6] Not announcing this fact, his compilation was published posthumously[6][nb 1] in 1943, followed by a second corrected edition in his name in 1948.[nb 4]

The third edition (1951) was worked on by Gradshteyn,[13] who also introduced the chapter numbering system in decimal notation. Gradshteyn planned considerable expansion for the fourth edition, a work he could not finish due to his own death.[6][nb 2] Therefore, the fourth (1962/1963) and fifth (1971) editions were continued by Yuri Veniaminovich Geronimus (Russian: Юрий Вениаминович Геронимус, German: Juri Weniaminowitsch Geronimus)[6][nb 5] and Michail Yulyevich Tseytlin (Russian: Михаил Ю́льевич Цейтлин, German: Michael Juljewitsch Zeitlin).[nb 6] The fourth edition contained about 12 000 formulas already.[14][nb 3]

Based on the third Russian edition, the first German-English edition with 5 400 formulas[15][nb 3] was published in 1957 by the East-German Deutscher Verlag der Wissenschaften (DVW) with German translations by Christa[nb 7] and Lothar Berg[nb 8] and the English texts by Martin Strauss.[nb 9] In Zentralblatt für Mathematik Karl Prachar wrote:[16]

"Die sehr reichhaltigen Tafeln wurden nur aus dem Russischen ins Deutsche und Englische übersetzt."
(Translation: The very comprehensive tables were only translated into German and English language.)

In 1963, it was followed by the second edition, a reprint edition with a four-page inlet listing corrections compiled by Eldon Robert Hansen.

Derived from the 1963 edition, but considerably expanded and split into two volumes, the third German-English edition by Ludwig Boll[nb 10] was finally published by MIR Moscow in 1981 (with permission of DVW and distributed through Verlag Harri Deutsch in the Western world); it incorporated the material of the fifth Russian edition (1971) as well.[nb 11]

Pending this third German-English edition an English-only edition by Alan Jeffrey[nb 12] was published in 1965. Lacking a clear designation by itself it was variously known as first, third or fourth English edition, as it was based on the then-current fourth Russian edition. The formulas were photographically reproduced and the text translated. This still held true for the expanded fourth English edition in 1980, which added chapters 10 to 17.[17]

Both of these editions saw multiple print runs each incorporating newly found corrections. Starting with the third printing, updated table entries were marked by adding a small superscript number to the entry number indicating the corresponding print run ("3" etc.), a convention carried over into later editions by continuing to increase the superscript number as kind of a revision number (no longer directly corresponding with actual print runs).

The fifth edition (1994), which contained close to 20 000 formulas,[18][nb 3] was electronically reset[3] in preparation for a CD-ROM issue of the fifth edition (1996) and in anticipation of further editions. Since the sixth edition (2000), now corresponding with superscript number "10", Daniel Zwillinger[nb 13] started contributing as well. The last edition being edited by Jeffrey before his death[nb 12] was the seventh English edition published in 2007 (with superscript number "11").[19] This edition has been retranslated back into Russian as "seventh Russian edition" in 2011.[20][nb 11]

For the eighth edition (2014/2015, with superscript number "12") Zwillinger took over the role of the editor. He was assisted by Victor Hugo Moll.[21][nb 14] In order to make room for additional information without increasing the size of the book significantly, the former chapters 11 (on algebraic inequalities), chapters 13 to 16 (on matrices and related results, determinants, norms, ordinary differential equations) and chapter 18 (on z-transforms) worth about 50 pages in total were removed and some chapters renumbered (12 to 11, 17 to 12). This edition contains more than 10 000 entries.[21][nb 3]

Related projects

In 1995, Alan Jeffrey published his Handbook of Mathematical Formulas and Integrals.[22] It was partially based on the fifth English edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and meant as an companion, but written to be more accessible for students and practitioners.[22] It went through four editions up to 2008.[22][23][24][25] The fourth edition also took advantage of changes incorporated into the seventh English edition of Gradshteyn and Ryzhik.[25]

Inspired by a 1988 paper in which Ilan Vardi (de) proved several integrals in Gradshteyn and Ryzhik,[26] Victor Hugo Moll with George Boros started a project to prove all integrals listed in Gradshteyn and Ryzhik and add additional commentary and references.[27] In the foreword of the book Irresistible Integrals (2004), they wrote:[28]

It took a short time to realize that this task was monumental.

Nevertheless, the efforts have meanwhile resulted in about 900 entries from Gradshteyn and Ryzhik discussed in a series of more than 30 articles[29][30][31] of which papers 1 to 28[lower-alpha 1] have been published in issues 14 to 26 of Scientia, Universidad Técnica Federico Santa María (UTFSM), between 2007 and 2015[60] and compiled into a two-volume book series Special Integrals of Gradshteyn and Ryzhik: the Proofs (2014–2015) already.[61][62]

Editions

Russian editions

  • (in ru) (1 ed.). Moscow: Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат). 1943.  400 pages.[10][63]
  • (in ru) (2 ed.). Moscow: Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат). 1948.  400 pages.[11]
  • (in ru) (3 ed.). Moscow: Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат). 1951.  464 pages (+ errata inlet).[63][64][65]
  • (in ru) Tablitsy Integralov, Summ, Riadov I Proizvedenii (4 ed.). Moscow: Gosudarstvennoe Izdatel'stvo Fiziko-Matematicheskoy Literatury (Государственное издательство физико-математической литературы) (Fizmatgiz / Физматгиз). 1963. https://books.google.com/books?id=lDNNmQEACAAJ.  1100 pages (+ 8 page errata inlet in later print runs).[105][106][14] Errata:[66]
  • (in ru) (5 ed.). Nauka (Наука). 1971.  Dark brown fake-leather, 1108 pages.[nb 11]
  • (in ru) (7 ed.). Saint-Petersburg, Russia: BHV (БХВ-Петербург). 2011GR:11. ISBN 978-5-9775-0360-0.  l+1182 pages.[20][nb 11]

German editions

  • (in de, en) Tafeln / Tables: Summen-, Produkt- und Integral-Tafeln / Tables of Series, Products, and Integrals. Foreword by Schröder, Kurt Erich [de] (1 ed.). Berlin, German Democratic Republic: Deutscher Verlag der Wissenschaften. 1957. DNB-IDN 454242255, Lizenz-Nr. 206, 435/2/57. https://books.google.com/books?id=oP3uAAAAMAAJ. Retrieved 2016-02-21.  Gray or green linen, xxiii+438 pages.[15][16] Errata:[65][67][68][69][70][71][72]
  • (in de, en) Tafeln / Tables: Summen-, Produkt- und Integral-Tafeln / Tables of Series, Products, and Integrals. Foreword by Schröder, Kurt Erich [de] (2nd corrected ed.). Berlin, German Democratic Republic: VEB Deutscher Verlag der Wissenschaften (DVW). 1963. DNB-IDN 579497747, Lizenz-Nr. 206, 435/93/63. https://books.google.com/books?id=tI_QAAAAMAAJ. Retrieved 2016-02-21.  [107] (Printed by VEB Druckerei "Thomas Müntzer", Bad Langensalza. Distributed in the USA by Plenum Press, Inc., New York.) Green linen, xxiii+438 pages + 4 page errata inlet. Errata:[70]
  • Cover of third German-English edition, 1981
    (in de, en) Tafeln / Tables: Summen-, Produkt- und Integraltafeln / Tables of Series, Products, and Integrals (3 ed.). Berlin / Thun / Frankfurt am Main / Moscow: Verlag Harri Deutsch / Verlag MIR Moscow. 1981. DNB-IDN 551448512, 881086274, 881086282. ISBN 3-87144-350-6.  Gray linen with gilded embossing by A. W. Schipow, 2 volumes, 677+3 & 504 pages.[73][74]

Polish edition

English editions

Japanese edition

See also

Notes

  1. ↑ [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]
  1. ↑ 1.0 1.1 1.2 Cite error: Invalid <ref> tag; no text was provided for refs named Ryzhik_Bio
  2. ↑ 2.0 2.1 Cite error: Invalid <ref> tag; no text was provided for refs named Gradshteyn_Bio
  3. ↑ 3.0 3.1 3.2 3.3 3.4 Following the sources, this article distinguishes between the documented number of formulas and the number of entries.
  4. ↑ The fact that Ryzhik's death was not announced before the third edition of the book in 1951 might indicate that his status was unclear for a number of years, or, in the case of the first edition, that typesetting had already started, but actual production of the book had to be delayed and was then finalized in his absence as a consequence of the war.
  5. ↑ Yuri Veniaminovich Geronimus (Юрий Венеаминович Геронимус) (1923–2013), Template:GND.
  6. ↑ Michail Yulyevich Tseytlin (Михаил Ю́льевич Цейтлин), also as M. Yu. Ceitlin, Michael Juljewitsch Zeitlin, Michael Juljewitsch Zeitlein, Michael Juljewitsch Tseitlin, Mikhail Juljewitsch Tseitlin (?–).
  7. ↑ Christa Berg née Jahncke (?–), Template:GND (this entry contains an incorrect birth year and some incorrectly associated books). [1]
  8. ↑ Lothar Berg (1930-07-28 to 2015-07-27), Template:GND. [2][3]
  9. ↑ Martin D. H. Strauss also as Martin D. H. Strauß (1907-03-18 Pillau, Baltijsk, Ostpreußen – 1978-05-17, East-Berlin, GDR), Template:GND, German physicist and philosopher. [4][5][6][7][8]
  10. ↑ Ludwig Boll (1911-12-10 Gaulsheim, Germany – 1984-12-02), Template:GND, German mathematician. [9][10]
  11. ↑ 11.0 11.1 11.2 11.3 The seventh Russian edition (2011) was named after the seventh English edition (2007), of which it was a retranslation. There was no sixth genuinely Russian edition. The English series of editions was originally (1965) based on the fourth Russian edition (1962/1963). It is unknown if any changes for the fifth Russian edition (1971) or the third German-English edition (1981), which did incorporate material from the fifth Russian edition, were reflected in any of the English editions in between (and thereby in the seventh Russian edition as well).
  12. ↑ 12.0 12.1 Alan Jeffrey (1929-07-16 to 2010-06-06), Template:GND. [11][12][13]
  13. ↑ Daniel "Dan" Ian Zwillinger (1957–), Template:GND. [14]
  14. ↑ Victor Hugo Moll (1956–), Template:GND.

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References

  1. ↑ 1.0 1.1 1.2 1.3 "Reviews and Descriptions of Tables and Books 85: Table of Integrals, Series, and Products by I. S. Gradshteyn, I. M. Ryzhik". Mathematics of Computation 20 (96): 616–617. October 1966. doi:10.2307/2003554. RMT:85. https://www.ams.org/journals/mcom/1966-20-096/S0025-5718-66-99914-5/S0025-5718-66-99914-5.pdf. Retrieved 2016-03-04. 
  2. ↑ 2.0 2.1 2.2 2.3 "Reviews and Descriptions of Tables and Books 5: I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York, 1980". Mathematics of Computation 36 (153): 310–314. January 1981. doi:10.2307/2007757. MSC:7.95,7.100. https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-81-99782-9/S0025-5718-81-99782-9.pdf. Retrieved 2016-03-04. 
  3. ↑ 3.0 3.1 3.2 3.3 "Reviews and Descriptions of Tables and Books 1: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Alan Jeffrey, ed.), Academic Press, Boston, 1994". Mathematics of Computation 64 (209): 439–441. January 1995. doi:10.2307/2153347. MSC:00A22,33-00,44-00,65-00. https://www.ams.org/journals/mcom/1995-64-209/S0025-5718-95-99727-0/S0025-5718-95-99727-0.pdf. Retrieved 2016-03-03. 
  4. ↑ 4.0 4.1 4.2 4.3 "Tables of Integrals, Series and Products By I. S. Gradshteyn and I. M. Ryzhik, edited by Alan Jeffrey". American Mathematical Monthly. April 1997. 
  5. ↑ 5.0 5.1 5.2 5.3 "2. Tables of Integrals, Series and Products By I. S. Gradshteyn and I. M. Ryzhik, edited by Alan Jeffrey". Orthogonal Polynomials and Special Functions (SIAM Activity Group on Orthogonal Polynomials and Special Functions) 8 (1): pp. 13–16. October 1997. http://www.mathematik.uni-kassel.de/~koepf/Siamnews/8-1.pdf. 
  6. ↑ 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 "The History and Future of Special Functions". Wolfram Technology Conference, Festschrift for Oleg Marichev, in honor of his 60th birthday. Champaign, IL, USA: Stephen Wolfram, LLC. 2005-10-08. The story behind Gradshteyn-Ryzhik. http://www.stephenwolfram.com/publications/history-future-special-functions/#GRbook. "[…] In 1936 Iosif Moiseevich Ryzhik had a book entitled Special Functions published by the United Moscow-Leningrad Scientific-Technical Publisher. Ryzhik died in 1941, either during the siege of Leningrad, or fighting on the Russian front. In 1943, a table of formulas was published under Ryzhik's name by the Governmental Moscow-Leningrad Technical-Theoretical Publisher. The only thing the book seems to say about its origins is that it's responding to the shortage of books of formulas. It says that some integrals marked in it are original, but the others mostly come from three books—a French one from 1858, a German one from 1894, and an American one from 1922. It explains that effort went into the ordering of the integrals, and that some are simplified by using a new special function s equal to Gamma[x+y-1]/(Gamma[x]Gamma[y]). It then thanks three fairly prominent mathematicians from Moscow University. That's basically all we know about Ryzhik. […] Israil Solomonovitch Gradshteyn was born in 1899 in Odessa, and became a professor of mathematics at Moscow State University. But in 1948, he was fired as part of the Soviet attack on Jewish academics. To make money, he wanted to write a book. And so he decided to build on Ryzhik's tables. Apparently he never met Ryzhik. But he created a new edition, and by the third edition, the book was known as Gradshteyn-Ryzhik. […] Gradshteyn died of natural causes in Moscow in 1958. Though somehow there developed an urban legend that one of the authors of Gradshteyn-Ryzhik had been shot as a piece of anti-Semitism on the grounds that an error in their tables had caused an airplane crash. […] Meanwhile, starting around 1953, Yurii Geronimus, who had met Gradshteyn at Moscow State University, began helping with the editing of the tables, and actually added the appendices on special functions. Later on, several more people were involved. And when the tables were published in the West, there were arguments about royalties. But Geronimus [in 2005 was] still alive and well and living in Jerusalem, and Oleg phoned him […]" 
  7. ↑ (in fr) Nouvelles tables d'intégrales définies (1 ed.). Leiden, Netherlands: P. Engels. 1867. https://archive.org/details/bub_gb_UEE-AQAAIAAJ. Retrieved 2016-04-17.  (NB. This book had a precursor in 1858 named Tables d'intégrales définies [15] (published by C. G. van der Post in Amsterdam) with supplement Supplément aux tables d'intégrales définies [16] in ca. 1864. Cited as BI (БХ) in GR.)
  8. ↑ (in de) Sammlung von Formeln der reinen und angewandten Mathematik. 1–3 (1 ed.). Braunschweig, Germany: Friedrich Vieweg und Sohn [de]. 1888–1894. OCLC 24624148. https://archive.org/details/sammlungformeln00laskrich. Retrieved 2016-04-17.  (NB. The book writes the author's name as Wenzel Láska. Cited as LA (Ла) in GR.)
  9. ↑ Greenhill, Alfred George, ed (1922). Smithsonian Mathematical Formulae and Tables of Elliptic Functions. Smithsonian Miscellaneous Collections. 74 (1 ed.). Washington D.C., USA: Smithsonian Institution. https://books.google.com/books?id=YKSQngEACAAJ. Retrieved 2016-04-17.  (NB. Cited as AD (А) in GR.)
  10. ↑ 10.0 10.1 "Recent Mathematical Tables 219: I. M. Ryzhik, Tablitsy Integralov, Summ, Riadov i Proizvedeniĭ, Leningrad, OGIZ, 1943". Mathematical Tables and Other Aids to Computation (MTAG) (American Mathematical Society) 1 (12): 442–443. October 1945. RMT:219. https://www.ams.org/journals/mcom/1945-01-012/S0025-5718-45-99071-5/S0025-5718-45-99071-5.pdf. Retrieved 2016-03-04. 
  11. ↑ 11.0 11.1 "Rydzik, I. M.: Tabellen für Integrale, Summen, Reihen und Produkte. 2. Aufl. Moskau, Leningrad: Staatsverlag für techn.-theor. Lit., 1948" (in de). Zentralblatt für Mathematik (Berlin, Germany) 34 (1/3): 70. 1950-07-05. http://www.zentralblatt-math.org/zmath/scans.html?volume_=034&count_=070. Retrieved 2016-02-16. 
  12. ↑ "Preface" (in ru) (1 ed.). Moscow / Leningrad: Объединенное научно-техническое издательство, ONTI. Гострансизд-во. Глав. ред. общетехнич. лит-ры и номографии. 1936. http://search.rsl.ru/en/record/01005303273. Retrieved 2016-04-09.  (160 pages.)
  13. ↑ "Math.ru" (in ru). Мат. просвещение (Mat. enlightenment): 25-28. 2003. https://math.ru/history/people/Yaglom_IM. Retrieved 2022-01-12. 
  14. ↑ 14.0 14.1 "Gradšteĭn, I. S., und I. M. Ryžik: Integral-, Summen-, Reihen- und Produkttafeln. (Tablicy integralov, summ, rjadov i proizvedeniĭ) 4. Aufl. überarb. unter Mitwirkung von Ju. V. Geronimus und M. Ju. Ceĭtlin. Moskau: Staatsverlag für physikalisch-mathematische Literatur, 1962" (in de). Zentralblatt für Mathematik 103 (1): 38. 1964-01-02. http://www.zentralblatt-math.org/zmath/scans.html?volume_=103&count_=038. Retrieved 2016-02-16. 
  15. ↑ 15.0 15.1 "Reviews and Descriptions of Tables and Books 69: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, VEB Deutscher Verlag der Wissenschaften, Berlin". Mathematics of Computation 14 (72): 381–382. October 1960. doi:10.2307/2003905. RMT:69. https://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99227-9/S0025-5718-60-99227-9.pdf. Retrieved 2016-03-16. 
  16. ↑ 16.0 16.1 "Ryshik, I. M. und I. S. Gradstein: Summen-, Produkt- und Integraltafeln / Tables of series, products and integrals. Berlin: VEB Deutscher Verlag der Wissenschaften, 1957" (in de). Zentralblatt für Mathematik 80 (2): 337–338. 1959-09-15. http://www.zentralblatt-math.org/zmath/scans.html?volume_=080&count_=337. Retrieved 2016-02-12. 
  17. ↑ 17.0 17.1 17.2 "Gradshteyn, I. S.; Ryzhik, I. M.: Tables of integrals, series, and products. Corr. and enl. ed. by Alan Jeffrey. Incorporating the 4th ed. by Yu. V. Geronimus and M. Yu. Tseytlin (M. Yu. Tsejtlin). Transl. from the Russian – New York – London – Toronto. Volumes 1, 2. German and English Transl.". Zentralblatt für Mathematik und ihre Grenzgebiete 521: 193. http://www.zentralblatt-math.org/zmath/scans.html?volume_=521&count_=193. Retrieved 2016-02-16. 
  18. ↑ 18.0 18.1 "Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Transl. from the Russian by Scripta Technica, Inc. 5th ed. Boston, MA: Academic Press, Inc. (1994)". Zentralblatt MATH. 1994. ISBN 9780122947551. http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0918.65002. Retrieved 2016-02-16. 
  19. ↑ 19.0 19.1 Table of Integrals, Series, and Products (7 ed.). Academic Press, Inc.. February 2007. GR:11. ISBN 978-0-12-373637-6. https://books.google.com/books?id=aBgFYxKHUjsC. Retrieved 2016-02-21.  [17]
  20. ↑ 20.0 20.1 (in ru) (7 ed.). BHV (БХВ-Петербург). 2011. ISBN 978-5-9775-0360-0. http://www.apmath.spbu.ru/ru/staff/maximov/publ/publ1.pdf. Retrieved 2016-03-16. 
  21. ↑ 21.0 21.1 21.2 Table of Integrals, Series, and Products (8 ed.). Academic Press, Inc.. 2015. GR:12. ISBN 978-0-12-384933-5. https://books.google.com/books?id=NjnLAwAAQBAJ. Retrieved 2016-02-21. 
  22. ↑ 22.0 22.1 22.2 Handbook of Mathematical Formulas and Integrals (1 ed.). Academic Press, Inc.. 1995-01-01. ISBN 978-0-12-382580-3. 
  23. ↑ Handbook of Mathematical Formulas and Integrals (2 ed.). Academic Press, Inc.. 2000-08-01. ISBN 978-0-12-382251-2. 
  24. ↑ Handbook of Mathematical Formulas and Integrals (3 ed.). Academic Press, Inc.. 2004 (published 2003-11-21). ISBN 978-0-12-382256-7. http://www.sciencedirect.com/science/book/9780123822567. Retrieved 2016-03-01. 
  25. ↑ 25.0 25.1 Handbook of Mathematical Formulas and Integrals (4 ed.). Academic Press, Inc.. 2008-02-01. ISBN 978-0-12-374288-9. https://books.google.com/books?id=JokQD5nK4LMC. Retrieved 2016-03-01.  (NB. Contents of companion CD-ROM: [18] [19])
  26. ↑ "Integrals: An Introduction to Analytic Number Theory". American Mathematical Monthly 95 (4): 308–315. April 1988. doi:10.2307/2323562. http://www.les-mathematiques.net/phorum/file.php?2,file=4114,filename=ArtRMS.pdf. Retrieved 2016-03-14.  [20]
  27. ↑ "Seized Opportunities". Notices of the American Mathematical Society 57 (4): 476–484. April 2010. https://www.ams.org/notices/201004/rtx100400476p.pdf. Retrieved 2016-04-08.  [21]
  28. ↑ Irresistible Integrals. Symbolics, Analysis and Experiments in the Evaluation of Integrals (reprinted 1st ed.). Cambridge University Press (CUP). 2006. p. xi. ISBN 978-0-521-79186-1. https://books.google.com/books?id=g9tH8M3NvDIC. Retrieved 2016-02-22.  [22] [23] (NB. This edition contains many typographical errors.)
  29. ↑ "The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials". Scientia. Series A: Mathematical Sciences. http://www.math.tulane.edu/~vhm/formula_html/final29.pdf. Retrieved 2016-03-13.  (NB. This paper discusses 19 GR entries: 1.14.2.1, 1.320, 2.18.1.9, 3.753.2, 3.771.8, 6.611, 7.341.1, 7.341.2, 7.342, 7.343.1, 7.344.1, 7.344.2, 7.346, 7.348, 7.349, 7.355.1, 7.355.2, 8.411.1, 8.921. [24])
  30. ↑ 30.0 30.1 "The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions". Scientia. Series A: Mathematical Sciences. http://www.math.tulane.edu/~vhm/formula_html/final30.pdf. Retrieved 2016-03-13.  (NB. This paper discusses 51 GR entries: 1.320.1, 1.320.3, 1.320.5, 1.320.7, 2.01.5, 2.01.6, 2.01.7, 2.01.8, 2.01.9, 2.01.10, 2.01.11, 2.01.12, 2.01.13, 2.01.14, 2.513.1, 2.513.2, 2.513.3, 2.513.4, 3.231.5, 3.274.2, 3.541.8, 3.611.3, 3.621.3, 3.621.4, 3.624.6, 3.631.16, 3.661.3, 3.661.4, 3.675.1, 3.675.2, 3.688.1, 3.721.1, 3.747.7, 3.761.4, 4.381.1, 4.381.2, 4.381.3, 4.381.4, 4.521.1, 6.671.7, 6.671.8, 7.244.1, 7.244.2, 7.531.1, 7.531.2, 8.230.1, 8.230.2, 8.361.7, 8.370, 8.910.2, 8.911.1. It also contains 1 errata for GR entry 3.541.8. [25])
  31. ↑ "Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets". Scientia. Series A: Mathematical Sciences 25: 65–84. 2014-06-13. 2014. http://www.mat.utfsm.cl/scientia/archivos/vol25/articulo8.pdf. Retrieved 2016-03-13.  (NB. This paper is also incorporated into volume II.)
  32. ↑ 32.0 32.1 "The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals". Scientia. Series A: Mathematical Sciences 14: 1–6. 2006-11-06. 2007. http://www.mat.utfsm.cl/scientia/archivos/vol14/a12007.pdf. Retrieved 2016-03-14.  [26] (NB. This paper (from volume I) discusses 10 GR entries: 3.419.2, 3.419.3, 3.419.4, 3.419.5, 3.419.6, 4.232.3, 4.261.4, 4.262.3, 4.263.1, 4.264.3. [27])
  33. ↑ "The integrals in Gradshteyn and Ryzhik. Part 2: Elementary logarithmic integrals". Scientia. Series A: Mathematical Sciences 14: 7–15. 2006-11-06. 2007. http://www.mat.utfsm.cl/scientia/archivos/vol14/a22007.pdf. Retrieved 2016-03-14.  [28] (NB. This paper (from volume I) discusses 5 GR entries: 4.231.1, 4.231.5, 4.231.6, 4.232.1, 4.232.2. [29])
  34. ↑ "The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials". Scientia. Series A: Mathematical Sciences 15: 31–36. 2007-01-16. 2007. http://www.mat.utfsm.cl/scientia/archivos/vol15/ar4.pdf. Retrieved 2016-03-14.  [30] (NB. This paper (from volume I) discusses 8 GR entries: 4.331.1, 4.335.1, 4.335.3, 4.352.1, 4.352.2, 4.352.3, 4.352.4, 4.353.2. [31])
  35. ↑ "The integrals in Gradshteyn and Ryzhik. Part 4: The gamma function". Scientia. Series A: Mathematical Sciences 15: 37–46. 2007-01-16. 2007. http://www.mat.utfsm.cl/scientia/archivos/vol15/ar5.pdf. Retrieved 2016-03-14.  [32] (NB. This paper (from volume I) discusses 44 GR entries: 3.324.2, 3.326.1, 3.326.2, 3.328, 3.351.3, 3.371, 3.381.4, 3.382.2, 3.434.1, 3.434.2, 3.461.2, 3.461.3, 3.462.9, 3.471.3, 3.478.1, 3.478.2, 3.481.1, 3.481.2, 4.215.1, 4.215.2, 4.215.3, 4.215.4, 4.229.1, 4.229.3, 4.229.4, 4.269.3, 4.272.5, 4.272.6, 4.272.7, 4.325.8, 4.325.11, 4.325.12,, 4.331.1 4.333, 4.335.1, 4.335.3, 4.355.1, 4.355.3, 4.355.4, 4.358.2, 4.358.3, 4.358.4, 4.369.1, 4.369.2. [33])
  36. ↑ "The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals". Scientia. Series A: Mathematical Sciences 15: 47–60. 2007-01-16. 2007. http://www.mat.utfsm.cl/scientia/archivos/vol15/ar6.pdf. Retrieved 2016-03-14.  [34] [35] (NB. This paper (from volume I) discusses 10 GR entries: 3.621.1, 3.621.3, 3.621.4, 3.761.11, 3.764.1, 3.764.2, 3.821.3, 3.821.14, 3.822.1, 3.822.2. [36])
  37. ↑ "The integrals in Gradshteyn and Ryzhik. Part 6: The beta function". Scientia. Series A: Mathematical Sciences 16: 9–24. 2007-10-31. 2008. http://www.mat.utfsm.cl/scientia/archivos/vol16/ar2.pdf. Retrieved 2016-03-14.  [37] (NB. This paper (from volume I) discusses 65 GR entries: 3.191.1, 3.191.2, 3.191.3, 3.192.1, 3.192.2, 3.193, 3.194.3, 3.194.4, 3.194.6, 3.194.7, 3.196.2, 3.196.3, 3.196.4, 3.196.5, 3.216.1, 3.216.2, 3.217, 3.218, 3.221.1, 3.221.2, 3.222.2, 3.223.1, 3.223.2, 3.223.3, 3.224, 3.225.1, 3.225.2, 3.225.3, 3.226.1, 3.226.2, 3.241.2, 3.241.4, 3.241.5, 3.248.1, 3.248.2, 3.248.3, 3.249.1, 3.249.2, 3.249.5, 3.249.7, 3.249.8, 3.251.1, 3.251.2, 3.251.3, 3.251.4, 3.251.5, 3.251.6, 3.251.8, 3.251.9, 3.251.10, 3.251.11, 3.267.1, 3.267.2, 3.267.3, 3.311.3, 3.311.9, 3.312.1, 3.313.1, 3.313.2, 3.314, 3.457.3, 4.251.1, 4.273, 4.275.1, 4.321.1. [38])
  38. ↑ "The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples". Scientia. Series A: Mathematical Sciences 16: 25–39. 2007-10-31. 2008. http://www.mat.utfsm.cl/scientia/archivos/vol16/ar3.pdf. Retrieved 2016-03-14.  [39] (NB. This paper (from volume I) discusses 30 GR entries: 2.321.1, 2.321.2, 2.322.1, 2.322.2, 2.322.3, 2.322.4, 3.195, 3.248.4, 3.248.6, 3.249.1, 3.249.6, 3.252.1, 3.252.2, 3.252.3, 3.268.1, 3.310, 3.311.1, 3.351.1, 3.351.2, 3.351.7, 3.351.8, 3.351.9, 3.353.4, 3.411.19, 3.411.20, 3.471.1, 3.622.3, 3.622.4, 4.212.7, 4.222.1. [40])
  39. ↑ "The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms". Scientia. Series A: Mathematical Sciences 16: 41–50. 2007-10-31. 2008. http://www.mat.utfsm.cl/scientia/archivos/vol16/ar4.pdf. Retrieved 2016-03-14.  [41] (NB. This paper (from volume I) discusses 7 GR entries: 3.351.1, 4.331.1, 4.351.1, 4.351.2, 4.353.3, 4.362.1, 8.350.1. [42])
  40. ↑ "The integrals in Gradshteyn and Ryzhik. Part 9: Combinations of logarithms, rational and trigonometric functions". Scientia. Series A: Mathematical Sciences 17: 27–44. 2008-11-18. 2009. http://www.mat.utfsm.cl/scientia/archivos/vol17/ar5.pdf. Retrieved 2016-03-14.  [43] (NB. This paper (from volume I) discusses 45 GR entries: 2.148.4, 3.747.7, 4.223.1, 4.223.2, 4.224.1, 4.224.2, 4.224.3, 4.224.4, 4.224.5, 4.224.6, 4.225.1, 4.225.2, 4.227.1, 4.227.2, 4.227.3, 4.227.9, 4.227.10, 4.227.11, 4.227.13, 4.227.14, 4.227.15, 4.231.1, 4.231.2, 4.231.3, 4.231.4, 4.231.8, 4.231.9, 4.231.11, 4.231.12, 4.231.13, 4.231.14, 4.231.15, 4.231.19, 4.231.20, 4.233.1, 4.261.8, 4.291.1, 4.291.2, 4.295.5, 4.295.6, 4.295.11, 4.521.1, 4.531.1, 8.366.3, 8.380.3. [44])
  41. ↑ 41.0 41.1 41.2 "The integrals in Gradshteyn and Ryzhik. Part 10: The digamma function". Scientia. Series A: Mathematical Sciences 17: 45–66. 2008-11-18. 2009. http://www.mat.utfsm.cl/scientia/archivos/vol17/ar6.pdf. Retrieved 2016-03-14.  [45] [46] (NB. This paper (from volume I) discusses 76 GR entries: 3.219, 3.231.1, 3.231.3, 3.231.5, 3.231.6, 3.233, 3.234.1, 3.235, 3.244.2, 3.244.3, 3.265, 3.268.2, 3.269.1, 3.269.3, 3.311.5, 3.311.6, 3.311.7, 3.311.8, 3.311.10, 3.311.11, 3.311.12, 3.312.2, 3.316, 3.317.1, 3.317.2, 3.427.1, 3.427.2, 3.429, 3.434.2, 3.435.3, 3.435.4, 3.442.3, 3.457.1, 3.463, 3.467, 3.469.2, 3.469.3, 3.471.14, 3.475.1, 3.475.2, 3.475.3, 3.476.1, 3.476.2, 4.241.1, 4.241.2, 4.241.3, 4.241.4, 4.241.5, 4.241.7, 4.241.8, 4.241.9, 4.241.10, 4.241.11, 4.243, 4.244.1, 4.244.2, 4.244.3, 4.245.1, 4.245.2, 4.246, 4.247.1, 4.247.2, 4.251.4, 4.253.1, 4.254.1, 4.254.6, 4.256, 4.271.15, 4.275.2, 4.281.1, 4.281.4, 4.281.5, 4.293.8, 4.293.13, 4.331.1, 8.371.2. [47])
  42. ↑ "The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function". Scientia. Series A: Mathematical Sciences 18: 61–75. 2009-03-16. 2009. http://www.mat.utfsm.cl/scientia/archivos/vol18/ar6.pdf. Retrieved 2016-03-14.  [48] [49] (NB. This paper (from volume I) discusses 52 GR entries: 3.222.1, 3.231.2, 3.231.4, 3.241.1, 3.244.1, 3.249.4, 3.251.7, 3.269.2, 3.311.2, 3.311.13, 3.522.4, 3.541.6, 3.541.7, 3.541.8, 3.622.2, 3.623.2, 3.623.3, 3.624.1, 3.635.1, 3.651.1, 3.651.2, 3.656.1, 3.981.3, 4.231.1, 4.231.6, 4.231.11, 4.231.12, 4.231.14, 4.231.19, 4.231.20, 4.234.1, 4.234.2, 4.251.3, 4.254.4, 4.261.2, 4.261.6, 4.261.11, 4.262.1, 4.262.4, 4.263.2, 4.264.1, 4.265, 4.266.1, 4.271.1, 4.271.16, 8.361.7, 8.365.4, 8.366.3, 8.366.11, 8.366.12, 8.366.13, 8.370. [50])
  43. ↑ "The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals". Scientia. Series A: Mathematical Sciences 18: 77–84. 2009-03-16. 2009. http://www.mat.utfsm.cl/scientia/archivos/vol18/ar7.pdf. Retrieved 2016-03-14.  [51] (NB. This paper (from volume I) discusses 6 GR entries: 4.231.1, 4.233.1, 4.233.2, 4.233.3, 4.233.4, 4.261.8. [52])
  44. ↑ "The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function". Scientia. Series A: Mathematical Sciences 19: 91–96. 2010-10-10. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art11.pdf. Retrieved 2016-03-14.  [53] (NB. This paper (from volume I) discusses 21 GR entries: 3.621.1, 3.621.2, 3.621.3, 3.621.4, 3.621.5, 3.621.6, 3.621.7, 3.622.1, 3.623.1, 3.624.2, 3.624.3, 3.624.4, 3.624.5, 3.625.1, 3.625.2, 3.625.3, 3.625.4, 3.626.1, 3.626.2, 3.627, 3.628. [54])
  45. ↑ 45.0 45.1 45.2 "The integrals in Gradshteyn and Ryzhik. Part 14: An elementary evaluation of entry 3.411.5". Scientia. Series A: Mathematical Sciences 19: 97–103. 2010-10-10. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art12.pdf. Retrieved 2016-03-14.  [55] (NB. This paper (from volume I) discusses 1 GR entry: 3.411.5. [56])
  46. ↑ "The integrals in Gradshteyn and Ryzhik. Part 15: Frullani integrals". Scientia. Series A: Mathematical Sciences 19: 113–119. 2010-07-18. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art14.pdf. Retrieved 2016-03-14.  [57] (NB. This paper (from volume I) discusses 12 GR entries: 3.232, 3.329, 3.412.1, 3.434.2, 3.436, 3.476.1, 3.484, 4.267.8, 4.297.7, 4.319.3, 4.324.2, 4.536.2. [58])
  47. ↑ 47.0 47.1 "The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals". Scientia. Series A: Mathematical Sciences 20: 45–59. 2010-07-21. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art4.pdf. Retrieved 2016-03-14.  [59] (NB. This paper (from volume II) discusses 36 GR entries: 1.421.1, 3.166.16, 3.166.18, 3.721.1, 3.821.7, 3.841.1, 3.841.2, 3.841.3, 3.841.4, 3.842.3, 3.842.4, 3.844.1, 3.844.2, 3.844.3, 3.844.4, 3.844.5, 3.844.6, 3.844.7, 3.844.8, 3.846.1, 3.846.2, 3.846.3, 3.846.4, 3.846.5, 3.846.6, 3.846.7, 3.846.8, 4.242.1, 4.395.1, 4.414.1, 4.432.1, 4.522.4, 4.522.5, 4.522.6, 4.522.7, 8.129.1. [60])
  48. ↑ "The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function". Scientia. Series A: Mathematical Sciences 20: 61–71. 2010-07-21. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art5.pdf. Retrieved 2016-03-14.  [61] (NB. This paper (from volume II) discusses 36 GR entries: 3.333.1, 3.333.2, 3.411.1, 3.411.2, 3.411.3, 3.411.4, 3.411.6, 3.411.7, 3.411.8, 3.411.9, 3.411.10, 3.411.11, 3.411.12, 3.411.13, 3.411.14, 3.411.15, 3.411.17, 3.411.18, 3.411.21, 3.411.22, 3.411.25, 3.411.26, 4.231.1, 4.231.2, 4.261.12, 4.261.13, 4.262.1, 4.262.2, 4.262.5, 4.262.6, 4.264.1, 4.264.2, 4.266.1, 4.266.2, 4.271.1, 4.271.2. [62])
  49. ↑ "The integrals in Gradshteyn and Ryzhik. Part 18: Some automatic proofs". Scientia. Series A: Mathematical Sciences 20: 93–111. 2010-08-21. 2010. http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art8.pdf. Retrieved 2016-03-14.  [63] [64] (NB. This paper (from volume II) discusses 7 GR entries: 2.148.3, 3.953, 4.535.1, 6.512.1, 7.322, 7.349, 7.512.5. [65])
  50. ↑ "The integrals in Gradshteyn and Ryzhik. Part 19: The error function". Scientia. Series A: Mathematical Sciences 21: 25–42. 2011-04-13. 2011. http://www.mat.utfsm.cl/scientia/archivos/vol21/vol21art3.pdf. Retrieved 2016-03-14.  [66] (NB. This paper (from volume II) discusses 42 GR entries: 3.321.1, 3.321.2, 3.321.3, 3.321.4, 3.321.5, 3.321.6, 3.321.7, 3.322.1, 3.322.2, 3.323.1, 3.323.2, 3.325, 3.361.1, 3.361.2, 3.361.3, 3.362.1, 3.362.2, 3.363.1, 3.363.2, 3.369, 3.382.4, 3.461.5, 3.462.5, 3.462.6, 3.462.7, 3.462.8, 3.464, 3.466.1, 3.466.2, 3.471.15, 3.471.16, 3.472.1, 6.281.1, 6.282.1, 6.283.1, 6.283.2, 6.294.1, 8.258.1, 8.258.2, 8.258.3, 8.258.4, 8.258.5. [67])
  51. ↑ 51.0 51.1 "The integrals in Gradshteyn and Ryzhik. Part 20: Hypergeometric functions". Scientia. Series A: Mathematical Sciences 21: 43–54. 2011-04-13. 2011. http://www.mat.utfsm.cl/scientia/archivos/vol21/vol21art4.pdf. Retrieved 2016-03-14.  [68] (NB. This paper (from volume II) discusses 26 GR entries: 3.194.1, 3.194.2, 3.194.5, 3.196.1, 3.197.1, 3.197.2, 3.197.3, 3.197.4, 3.197.5, 3.197.6, 3.197.7, 3.197.8, 3.197.9, 3.197.10, 3.197.11, 3.197.12, 3.198, 3.199, 3.227.1, 3.254.1, 3.254.2, 3.259.2, 3.312.3, 3.389.1, 9.121.4, 9.131.1. [69])
  52. ↑ "The integrals in Gradshteyn and Ryzhik. Part 21: Hyperbolic functions". Scientia. Series A: Mathematical Sciences 22: 109–127. 2012-10-20. 2012. http://www.math.tulane.edu/~vhm/formula_html/final21.pdf. Retrieved 2016-03-14.  (NB. This paper (from volume II) discusses 75 GR entries: 2.423.9, 3.231.2, 3.231.5, 3.265, 3.511.1, 3.511.2, 3.511.4, 3.511.5, 3.511.8, 3.512.1, 3.512.2, 3.521.1, 3.521.2, 3.522.3, 3.522.6, 3.522.8, 3.522.10, 3.523.2, 3.523.3, 3.523.4, 3.523.5, 3.523.6, 3.523.7, 3.523.8, 3.523.9, 3.523.10, 3.523.11, 3.523.12, 3.524.2, 3.524.4, 3.524.6, 3.524.8, 3.524.9, 3.524.10, 3.524.11, 3.524.12, 3.524.13, 3.524.14, 3.524.15, 3.524.16, 3.524.17, 3.524.18, 3.524.19, 3.524.20, 3.524.21, 3.524.22, 3.524.23, 3.525.1, 3.525.2, 3.525.3, 3.525.4, 3.525.5, 3.525.6, 3.525.7, 3.525.8, 3.527.1, 3.527.2, 3.527.3, 3.527.4, 3.527.5, 3.527.6, 3.527.7, 3.527.8, 3.527.9, 3.527.10, 3.527.11, 3.527.12, 3.527.13, 3.527.14, 3.527.15, 3.527.16, 3.543.2, 4.113.3, 4.231.12, 8.365.9. [70])
  53. ↑ 53.0 53.1 "The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions". Scientia. Series A: Mathematical Sciences 22: 129–151. 2012-10-20. 2012. http://www.math.tulane.edu/~vhm/formula_html/final22.pdf. Retrieved 2016-03-14.  [71] (NB. This paper (from volume II) discusses 36 GR entries: 3.323.3, 3.324.1, 3.337.1, 3.364.3, 3.365.2, 3.366.2, 3.372, 3.383.3, 3.383.8, 3.387.1, 3.387.3, 3.387.6, 3.388.2, 3.389.4, 3.391, 3.395.1, 3.461.6, 3.461.7, 3.461.8, 3.461.9, 3.462.20, 3.462.21, 3.462.22, 3.462.23, 3.462.24, 3.462.25, 3.469.1, 3.471.4, 3.471.8, 3.471.9, 3.471.12, 3.478.4, 3.479.1, 3.547.2, 3.547.4, 8.432.6. [72])
  54. ↑ "The integrals in Gradshteyn and Ryzhik. Part 23: Combination of logarithms and rational functions". Scientia. Series A: Mathematical Sciences 23: 1–18. 2012-06-25. 2012. http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo1vol23Rev.pdf. Retrieved 2016-03-14.  [73] [74] (NB. This paper (from volume II) discusses 54 GR entries: 3.417.1, 3.417.2, 4.212.7, 4.224.5, 4.224.6, 4.225.1, 4.225.2, 4.231.1, 4.231.2, 4.231.8, 4.231.9, 4.231.10, 4.231.11, 4.231.16, 4.231.17, 4.231.18, 4.233.1, 4.234.3, 4.234.6, 4.234.7, 4.234.8, 4.262.7, 4.262.8, 4.262.9, 4.291.1, 4.291.2, 4.291.3, 4.291.4, 4.291.5, 4.291.6, 4.291.7, 4.291.8, 4.291.9, 4.291.10, 4.291.11, 4.291.12, 4.291.13, 4.291.14, 4.291.15, 4.291.16, 4.291.17, 4.291.18, 4.291.19, 4.291.20, 4.291.21, 4.291.22, 4.291.23, 4.291.24, 4.291.25, 4.291.26, 4.291.27, 4.291.28, 4.291.29, 4.291.30. [75])
  55. ↑ "The integrals in Gradshteyn and Ryzhik. Part 24: Polylogarithm functions". Scientia. Series A: Mathematical Sciences 23: 45–51. 2012-07-28. 2012. http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo5vol23Rev.pdf. Retrieved 2016-03-14.  [76] (NB. This paper (from volume II) discusses 10 GR entries: 3.418.1, 3.514.1, 3.531.1, 3.531.2, 3.531.3, 3.531.4, 3.531.5, 3.531.6, 3.531.7, 9.513.1. [77])
  56. ↑ "The integrals in Gradshteyn and Ryzhik. Part 25: Evaluation by series". Scientia. Series A: Mathematical Sciences 23: 53–65. 2012-07-28. 2012. http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo6vol23Rev.pdf. Retrieved 2016-03-14.  [78] (NB. This paper (from volume II) discusses 18 GR entries: 3.194.8, 3.311.4, 3.342, 3.451.1, 3.451.2, 3.466.3, 3.747.7, 4.221.1, 4.221.2, 4.221.3, 4.251.5, 4.251.6, 4.269.1, 4.269.2, 8.339.1, 8.339.2, 8.365.4, 8.366.3. [79])
  57. ↑ 57.0 57.1 "The integrals in Gradshteyn and Ryzhik. Part 26: The exponential integral". Scientia. Series A: Mathematical Sciences 26: 19–30. 2015-01-30. 2015. http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-3.pdf. Retrieved 2016-03-14.  [80] (NB. This paper (from volume II) discusses 41 GR entries: 3.327, 3.351.4, 3.351.5, 3.351.6, 3.352.1, 3.352.2, 3.352.3, 3.352.4, 3.352.5, 3.352.6, 3.353.1, 3.353.2, 3.353.3, 3.353.4, 3.353.5, 3.354.1, 3.354.2, 3.354.3, 3.354.4, 3.355.1, 3.355.2, 3.355.3, 3.355.4, 3.356.1, 3.356.2, 3.356.3, 3.356.4, 3.357.1, 3.357.2, 3.357.3, 3.357.4, 3.357.5, 3.357.6, 3.358.1, 3.358.2, 3.358.3, 3.358.4, 4.211.1, 4.211.2, 4.212.1, 4.212.2. [81])
  58. ↑ "The integrals in Gradshteyn and Ryzhik. Part 27: More logarithmic examples". Scientia. Series A: Mathematical Sciences 26: 31–47. 2015-01-30. 2015. http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-4.pdf. Retrieved 2016-03-14.  [82] (NB. This paper (from volume II) discusses 37 GR entries: 3.194.3, 3.231.1, 3.231.5, 3.231.6, 3.241.3, 3.621.3, 3.621.5, 4.224.2, 4.231.1, 4.231.2, 4.231.8, 4.233.5, 4.234.4, 4.234.5, 4.235.1, 4.235.2, 4.235.3, 4.235.4, 4.241.5, 4.241.6, 4.241.7, 4.241.11, 4.251.1, 4.251.2, 4.252.1, 4.252.2, 4.252.3, 4.252.4, 4.254.2, 4.254.3, 4.255.2, 4.255.3, 4.257.1, 4.261.9, 4.261.15, 4.261.16, 4.297.8. [83])
  59. ↑ 59.0 59.1 "The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions". Scientia. Series A: Mathematical Sciences 26: 49–61. 2015-02-01. 2015. http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-5.pdf. Retrieved 2016-03-14.  [84] (NB. This paper (from volume II) discusses 17 GR entries: 7.612.1, 7.612.2, 7.621.1, 7.621.2, 7.621.3, 7.621.4, 7.621.5, 7.621.6, 7.621.7, 7.621.8, 7.621.9, 7.621.10, 7.621.11, 7.621.12, 8.334.2, 8.703, 9.211.4. [85])
  60. ↑ "Index of the papers in Revista Scientia with formulas from GR". 2012. http://www.math.tulane.edu/~vhm/pap-index.html. 
  61. ↑ Special Integrals of Gradshteyn and Ryzhik: the Proofs. Monographs and Research Notes in Mathematics. I (1 ed.). Chapman and Hall/CRC Press/Taylor & Francis Group, LLC. 2014-10-01 (published 2014-11-12). ISBN 978-1-4822-5651-2. https://books.google.com/books?id=dRYeBQAAQBAJ&q=9781482256512. Retrieved 2016-02-12.  (NB. This volume compiles Scientia papers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 from issues 14 to 19.)
  62. ↑ Special Integrals of Gradshteyn and Ryzhik: the Proofs. Monographs and Research Notes in Mathematics. II (1 ed.). Chapman and Hall/CRC Press/Taylor & Francis Group, LLC. 2015-08-24 (published 2015-10-27). ISBN 978-1-4822-5653-6. https://books.google.com/books?id=jSzSCgAAQBAJ&pg=PR6. Retrieved 2016-02-12.  (NB. This volume compiles 14 Scientia articles from issues 20, 21, 22, 23, 25 and 26 including papers 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 and one unnumbered paper.)
  63. ↑ 63.0 63.1 "Ryžik, I. M.: Tafeln von Integralen, Summen, Reihen und Produkten. Moskau-Leningrad: Staatsverlag für technisch-theoretische Literatur, 1943" (in de). Zentralblatt für Mathematik 60 (1): 123. 1957-04-01. http://www.zentralblatt-math.org/zmath/scans.html?volume_=060&count_=123. Retrieved 2016-02-16. 
  64. ↑ "Ryžik, I. M. und I. S. Gradštejn: Tafeln von Integralen, Summen, Reihen und Produkten. 3. umgearb. Aufl. Moskau-Leningrad: Staatsverlag für technisch-theoretische Literatur, 1951" (in de). Zentralblatt für Mathematik 44 (1/5): 133. 1952-09-01. http://www.zentralblatt-math.org/zmath/scans.html?volume_=044&count_=133. Retrieved 2016-02-16. 
  65. ↑ 65.0 65.1 "Table Errata 293: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, Deutscher Verlag der Wissenschaften, Berlin, 1957". Mathematics of Computation 14 (72): 401–403. October 1960. MTE:293. https://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99226-7/S0025-5718-60-99226-7.pdf. Retrieved 2016-03-16. 
  66. ↑ "Errata in 4th edition" (in ru) (5 ed.). Nauka (Наука). 1971. pp. 1101–1108.  (NB. The 8-page errata list in later print runs of the fourth Russian edition affected 189 table entries.)
  67. ↑ (in de) Ryshik-Gradstein: Summen-, Produkt- und Integral-Tafeln: Berichtigungen zur 1. Auflage. Berlin, Germany: VEB Deutscher Verlag der Wissenschaften. 1962.  (NB. This brochure was available free of charge from the publisher on request.)
  68. ↑ "Ryshik-Gradstein: Tafeln Summen Produkte Integrale: Berichtigungen zur 1. Auflage" (in fr, de). L'Enseignement Mathématique. Bulletin Bibliographique: Livres Nouveaux 9: 5. 1963. http://retro.seals.ch/cntmng?pid=ens-001:1963:9::80. Retrieved 2016-03-04. "Die Berichtigung wird den Interessenten auf Anfrage kostenlos durch den Verlag geliefert.". 
  69. ↑ "Table Errata 326: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln, Deutscher Verlag der Wissenschaften, Berlin, 1957". Mathematics of Computation 17 (81): 100–103. January 1963. MTE:326. https://www.ams.org/journals/mcom/1963-17-081/S0025-5718-63-99185-3/S0025-5718-63-99185-3.pdf. Retrieved 2016-03-16.  [86]
  70. ↑ 70.0 70.1 "Errata 392: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, VEB Deutscher Verlag der Wissenschaften, Berlin, 1957". Mathematics of Computation 20 (95): 468–471. July 1966. doi:10.2307/2003630. MTE:392. https://www.ams.org/journals/mcom/1966-20-095/S0025-5718-66-99916-9/S0025-5718-66-99916-9.pdf. Retrieved 2016-03-16. 
  71. ↑ "Table Errata 456: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln, VEB Deutscher Verlag der Wissenschaften, Berlin, 1957". Mathematics of Computation 24 (109): 239–242. January 1970. MTE:456. https://www.ams.org/journals/mcom/1970-24-109/S0025-5718-70-99855-8/S0025-5718-70-99855-8.pdf. Retrieved 2016-03-16. 
  72. ↑ 72.0 72.1 "Table Errata 486: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 26 (117): 305–307. January 1972. doi:10.1090/s0025-5718-1972-0415970-6. MTE:486. https://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0415970-6/S0025-5718-1972-0415970-6.pdf. Retrieved 2016-03-04.  [87]
  73. ↑ "Gradshtejn, I. S.; Ryzhik, I. M.: Summen-, Produkt- und Integraltafeln. Band 1, 2. Deutsch und englisch. Übers. aus dem Russischen auf der Basis der 5. russ. Aufl., überarb. von J. Geronimus und M. Zeitlin. Tables of series, products, and integrals. Volumes 1, 2. German and English Transl." (in de). Zentralblatt für Mathematik und ihre Grenzgebiete 448: 395. http://www.zentralblatt-math.org/zmath/scans.html?volume_=448&count_=395. Retrieved 2016-02-16. 
  74. ↑ "Gradshtejn, I. S.; Ryzhik, I. M.: Summen-, Produkt- und Integraltafeln. Band 1, 2. Deutsch und englisch. Übers. aus dem Russischen auf der Basis der 5. russ. Aufl., überarb. von J. Geronimus und M. Zeitlin. Tables of series, products, and integrals. Volumes 1, 2. German and English Transl." (in de). Zentralblatt für Mathematik und ihre Grenzgebiete 456: 355. http://www.zentralblatt-math.org/zmath/scans.html?volume_=456&count_=355. Retrieved 2016-02-16. 
  75. ↑ "Table Errata 408: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, Fourth Edition, Academic Press, New York, 1965". Mathematics of Computation 21 (98): 293–295. April 1967. MTE:408. https://www.ams.org/journals/mcom/1967-21-098/S0025-5718-67-99890-0/S0025-5718-67-99890-0.pdf. Retrieved 2016-03-04. 
  76. ↑ "Table Errata 428: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, fourth edition, prepared by Yu. V. Geronimus & M. Yu. Tseytlin, Academic Press, New York, 1965". Mathematics of Computation 22 (104): 903–907. October 1968. MTE:428. https://www.ams.org/journals/mcom/1968-22-104/S0025-5718-1968-0239122-7/S0025-5718-1968-0239122-7.pdf. Retrieved 2016-03-04.  (NB. See 1972 corrigenda by Fettis and 1979 corrigenda by Anderson.)
  77. ↑ "Table Errata 437: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 23 (106): 467–472. April 1969. https://www.ams.org/journals/mcom/1969-23-106/S0025-5718-1969-0415966-4/S0025-5718-1969-0415966-4.pdf. Retrieved 2016-03-04.  [88] [89]
  78. ↑ "Table Errata 446: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th edition, Academic Press, New York, 1965". Mathematics of Computation 23 (108): 891–892, s15–s17. October 1969. doi:10.1090/s0025-5718-1969-0415968-8. MTE:446. https://www.ams.org/journals/mcom/1969-23-108/S0025-5718-1969-0415968-8/S0025-5718-1969-0415968-8.pdf. Retrieved 2016-03-04.  [90]
  79. ↑ "Table Errata 451: A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Tables of Integral Transforms, McGraw-Hill Book Co., New York, 1954". Mathematics of Computation 24 (109): 239–242. January 1970. doi:10.2307/2004614. MTE:451. https://www.ams.org/journals/mcom/1970-24-109/S0025-5718-1970-0257656-5/S0025-5718-1970-0257656-5.pdf. Retrieved 2016-03-16.  [91] (NB. The error also affects entry 3.252.10 on page 297 in GR.)
  80. ↑ "Table Errata 473: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 25 (113): 199–201. January 1971. MTE:473. https://www.ams.org/journals/mcom/1971-25-113/S0025-5718-71-99721-3/S0025-5718-71-99721-3.pdf. Retrieved 2016-03-04.  [92]
  81. ↑ "Table Errata 492: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 26 (118): 597–599. April 1972. MTE:492. https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-1972-0415971-8/S0025-5718-1972-0415971-8.pdf. Retrieved 2016-03-04.  [93]
  82. ↑ "Corrigendum: MTE 428, Math. Comp., v.22, 1968, pp. 903–907". Mathematics of Computation 26 (118): 601. April 1972. doi:10.2307/2005199. https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-1972-0415973-1/S0025-5718-1972-0415973-1.pdf. Retrieved 2016-03-04.  [94] (NB. This corrigenda applies to MTE 428.)
  83. ↑ "Table Errata 503: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 27 (122): 451–452. April 1973. doi:10.1090/s0025-5718-1973-0415972-0. MTE:503. https://www.ams.org/journals/mcom/1973-27-122/S0025-5718-1973-0415972-0/S0025-5718-1973-0415972-0.pdf. Retrieved 2016-03-04.  [95] (NB. See 1982 corrigenda by Fettis.)
  84. ↑ "Corrigenda: Ojo, Akin; Sadiku, J. (1973). Table Errata 503: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 38 (158): 657. April 1982. doi:10.1090/S0025-5718-1982-0645681-X. https://www.ams.org/journals/mcom/1982-38-158/S0025-5718-1982-0645681-X/S0025-5718-1982-0645681-X.pdf. Retrieved 2016-03-14.  (NB. This corrigenda applies to MTE 503.)
  85. ↑ "Table Errata 528: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 30 (136): 899. October 1976. doi:10.1090/s0025-5718-1976-0408192-x. MTE:528. https://www.ams.org/journals/mcom/1976-30-136/S0025-5718-1976-0408192-X/S0025-5718-1976-0408192-X.pdf. Retrieved 2016-03-04.  [96]
  86. ↑ "Table Errata 534: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 31 (138): 614–616. April 1977. doi:10.1090/s0025-5718-1977-0428676-9. MTE:534. https://www.ams.org/journals/mcom/1977-31-138/S0025-5718-1977-0428676-9/S0025-5718-1977-0428676-9.pdf. Retrieved 2016-03-04.  [97]
  87. ↑ "Table Errata 550: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 32 (141): 317–320. January 1978. MTE:550. https://www.ams.org/journals/mcom/1978-32-141/S0025-5718-1978-0478539-9/S0025-5718-1978-0478539-9.pdf. Retrieved 2016-03-04.  [98]
  88. ↑ "Table Errata 557: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 33 (145): 430–431. January 1979. MTE:557. https://www.ams.org/journals/mcom/1979-33-145/S0025-5718-79-99976-9/S0025-5718-79-99976-9.pdf. Retrieved 2016-03-04. 
  89. ↑ "Corrigenda: p. 906 of MTE 428. I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965.". Mathematics of Computation 33 (145): 432–433. January 1979. doi:10.2307/2006061. https://www.ams.org/journals/mcom/1979-33-145/S0025-5718-79-99975-7/S0025-5718-79-99975-7.pdf. Retrieved 2016-03-04.  (NB. This corrigenda applies to MTE 428.)
  90. ↑ "Table Errata 564: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 33 (146): 845–846. April 1979. MTE:564. https://www.ams.org/journals/mcom/1979-33-146/S0025-5718-79-99973-3/S0025-5718-79-99973-3.pdf. Retrieved 2016-03-04. 
  91. ↑ "Table Errata 565: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 33 (148): 1377. October 1979. MTE:565. https://www.ams.org/journals/mcom/1979-33-148/S0025-5718-79-99969-1/S0025-5718-79-99969-1.pdf. Retrieved 2016-03-04. 
  92. ↑ "Table Errata 572: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 35 (152): 1444. October 1980. doi:10.1090/S0025-5718-1980-0583522-8. MTE:572. https://www.ams.org/journals/mcom/1980-35-152/S0025-5718-1980-0583522-8/S0025-5718-1980-0583522-8.pdf. Retrieved 2016-03-04.  [99] [100]
  93. ↑ "Table Errata 577: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 36 (153): 317–318. January 1981. doi:10.1090/S0025-5718-1981-0595074-8. MTE:577. https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595074-8/S0025-5718-1981-0595074-8.pdf. Retrieved 2016-03-04. 
  94. ↑ "Table Errata 582: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 36 (153): 315–320. January 1981. MTE:582. https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595074-8/S0025-5718-1981-0595074-8.pdf. Retrieved 2016-03-04.  (NB. See 1982 corrigenda by Fettis.)
  95. ↑ "Corrigenda: Fettis, Henry E. (1981). Table Errata 582: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965". Mathematics of Computation 38 (157): 337. January 1982. doi:10.1090/S0025-5718-1982-0637313-1. https://www.ams.org/journals/mcom/1982-38-157/S0025-5718-1982-0637313-1/S0025-5718-1982-0637313-1.pdf. Retrieved 2016-03-16.  (NB. This corrigenda applies to MTE 582.)
  96. ↑ "Table Errata 589: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, Corrected and enlarged edition, Academic Press, New York, First printing, 1980". Mathematics of Computation 39 (160): 747–757. October 1982. doi:10.1090/S0025-5718-1982-0669666-2. MTE:589. https://www.ams.org/journals/mcom/1982-39-160/S0025-5718-1982-0669666-2/S0025-5718-1982-0669666-2.pdf. Retrieved 2016-02-22.  [101] [102]
  97. ↑ "I. S. Gradshteyn & I. M. Ryzhik, Tables of integrals, series, and products. Math. comput. 39, 747–757 (1982)". Zentralblatt für Mathematik und ihre Grenzgebiete 521: 193. http://www.zentralblatt-math.org/zmath/scans.html?volume_=521&count_=193. Retrieved 2016-02-16. 
  98. ↑ "Table Errata 601: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series and Products, Corrected and enlarged edition, Academic Press, New York, First Printing, 1980". Mathematics of Computation 41 (164): 780–783. October 1983. doi:10.1090/S0025-5718-1983-0717727-2. MTE:601. https://www.ams.org/journals/mcom/1983-41-164/S0025-5718-1983-0717727-2/S0025-5718-1983-0717727-2.pdf. Retrieved 2016-03-04.  [103]
  99. ↑ "Table Errata 607: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, corrected and enlarged edition prepared by A. Jeffrey, Academic Press, New York, 1980". Mathematics of Computation 47 (176): 767–768. October 1986. doi:10.1090/S0025-5718-1986-0856719-2. MTE:607.. https://www.ams.org/journals/mcom/1986-47-176/S0025-5718-1986-0856719-2/S0025-5718-1986-0856719-2.pdf. Retrieved 2016-03-03. 
  100. ↑ "Errors in the Integral Tables of Gradshteyn and Ryzhik with Correct Results from Mathematica". Mathematica Information Centre / Wolfram Library Archive: Technical Notes. Champaign, IL, USA: Wolfram Research, Inc.. 2004. http://library.wolfram.com/infocenter/TechNotes/4196/. 
  101. ↑ "Errors in the Integral Tables of Gradshteyn and Ryzhik with Correct Results from Mathematica". Champaign, IL, USA: Wolfram Research, Inc.. 2004. http://library.wolfram.com/infocenter/TechNotes/4196/GradshteynRyzhik.txt. 
  102. ↑ "Table of integrals, series, and products. Ed. by Alan Jeffrey. CD-ROM version 1.0 for PC, MAC, and UNIX computers. 5th ed. (English) San Diego, CA: Academic Press (1996)". Zentralblatt MATH. 1996. ISBN 9780122947568. http://zbmath.org/?q=an:0918.65001. Retrieved 2016-02-16. 
  103. ↑ "4. Table of Integrals, Series, and Products, CD-ROM Version 1.0 Edited by Alan Jeffrey". Orthogonal Polynomials and Special Functions (SIAM Activity Group on Orthogonal Polynomials and Special Functions) 7 (1): pp. 11–12. October 1996. http://www.mathematik.uni-kassel.de/~koepf/Siamnews/7-1.pdf. 
  104. ↑ "Corrigenda: I. S. Gradshteyn & I. M. Ryzhik; Table of Integrals, Series, and Products, Fifth edition, Academic Press, Boston". CERN Computing and Networks Division. June 1996. http://cdsweb.cern.ch/record/291467/files/cn-95-15.pdf. 
  105. ↑ "Table errata 617: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Alan Jeffrey, ed.), Academic Press, Boston, 1994". Mathematics of Computation 64 (209): 449–460. January 1995. doi:10.1090/S0025-5718-1995-1270626-0. MTE:617.. https://www.ams.org/journals/mcom/1995-64-209/S0025-5718-1995-1270626-0/S0025-5718-1995-1270626-0.pdf. Retrieved 2016-03-03.  [104]
  106. ↑ "Table Errata 628". Mathematics of Computation 66 (217): 463. January 1997. MTE:628. 
  107. ↑ "Table Errata 634". Mathematics of Computation 67 (224): 1753–1754. October 1998. MTE:634. MSC:00A22,33-00,65-00.. 
  108. ↑ "Errors in Gradshteyn and Ryzhik, 5th ed.". 2001-01-22. http://www.cnl.salk.edu/~ruderman/gr.html. "3.381.3, 3.411.6, 3.721.3, 3.761.2, 3.761.9, 3.897.1, 6.561.13, 8.350.2" 
  109. ↑ 109.0 109.1 "Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. 6th ed. San Diego, CA: Academic Press". Zentralblatt MATH. ISBN 9780122947575. http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0981.65001. Retrieved 2016-02-16. 
  110. ↑ "Table Errata 636". Mathematics of Computation 71 (239): 1335–1336. July 2002. MTE:636.. 
  111. ↑ "Table Errata 637". Mathematics of Computation 71 (239): 1335–1336. July 2002. MTE:637.. 
  112. ↑ "Errata for Tables of Integrals, Series, and Products, 6th edition by I. S. Gradshteyn and M. Ryzhik edited by Alan Jeffrey and Daniel Zwillinger, Academic Press, Orlando, Florida, 2000, ISBN 0-12-294757-6". 2005-11-10. http://www.mathtable.com/errata/gr6_errata.pdf.  (NB. This list of 64 pages has 398 entries. According to Daniel Zwillinger it is incomplete.)
  113. ↑ "Alexis De Vos". Universiteit Gent, Belgium. 2020-11-09. https://users.elis.ugent.be/~aldevos/. "[…] Finally, he is the proud discoverer of an error in equation 3.454.1 of the Gradshteyn and Ryzhik "Tables of integrals, series, and products". See errata for 6th edition by Alan Jeffrey and Daniel Zwillinger, pages 1 and 19. The error is now corrected in the 7th edition page 363 (with acknowledgement in page xxvi). […]" 
  114. ↑ "Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. With one CD-ROM (Windows, Macintosh and UNIX). 7th ed. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-373637-6).". Zentralblatt MATH. ISBN 9780123736376. http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1208.65001. Retrieved 2016-02-16. 
  115. ↑ "Errata for Tables of Integrals, Series, and Products (7th edition) by I. S. Gradshteyn and M. Ryzhik edited by Alan Jeffrey and Daniel Zwillinger, Academic Press, Orlando, Florida, 2007, ISBN 0-12-373637-4". 2008-04-11. http://www.mathtable.com/errata/gr7_errata.pdf.  (NB. This list of 7 pages has 42 entries. According to Daniel Zwillinger it is incomplete.)
  116. ↑ "Some remarks, generalizations and misprints in the integrals in Gradshteyn and Ryzhik". Scientia. Series A: Mathematical Sciences (Valparaıso, Chile: Universidad Tecnica Federico Santa Marıa) 26: 115–131. 2015-07-24. ISSN 0716-8446. https://www.researchgate.net/publication/281287335. Retrieved 2021-12-26.  (18 pages)
  117. ↑ "Errata for Tables of Integrals, Series, and Products (8th edition) by I. S. Gradshteyn and M. Ryzhik edited by Daniel Zwillinger and Victor Moll, Academic Press, 2014, ISBN 0-12-384933-0". 2021-04-23. http://www.mathtable.com/errata/gr8_errata.pdf.  (NB. This list of 33 pages has 191 entries.)

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