Searching: "hermite polynomials"

1. Hermite polynomials [100%] (Computing) [Special hypergeometric functions] [Polynomials] [Orthogonal polynomials] Polynomial sequence ...
2. Continuous q-Hermite polynomials [79%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] ...
3. Discrete q-Hermite polynomials [79%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] ...
4. Continuous big q-Hermite polynomials [70%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] A family of basic hypergeometric orthogonal polynomials ...

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1. Hermite spline [99%] (Computing) [Interpolation] [Splines (mathematics)] ... numerical analysis, a Hermite spline is a ... spline is in Hermite form. See also Cubic Hermite spline Hermite polynomials ...
2. Orthogonal polynomials [79%] (Category) [Special functions] [Polynomials] ... total. Orthogonal polynomials A Affine ... articles in the Orthogonal polynomials ... polynomials Heckman–Opdam polynomials Hermite ...
3. Brenke–Chihara polynomials [69%] (Computing) [Orthogonal polynomials] ... polynomials, and Brenke–Chihara polynomials are the Brenke polynomials that are also ... In mathematics, Brenke polynomials are ...
4. Special hypergeometric functions [68%] (Category) [Hypergeometric functions] [Special functions] ... q-Krawtchouk polynomials Airy function Al-Salam–Chihara polynomials B Bateman function ... polynomials H Hahn polynomials Hermite ...
5. Polynomial sequence [54%] (Computing) [Sequences and series] [Polynomials] ... Laguerre polynomials Chebyshev polynomials ... polynomials In mathematics, a polynomial sequence is a sequence of polynomials ...
6. Mehler–Heine formula [52%] (Computing) [Orthogonal polynomials] ... asymptotic behavior of the Legendre polynomials ... Hermite polynomials Using the expressions equivalating Hermite polynomials and ...
7. Turán's inequalities [52%] (Computing) [Inequalities] [Orthogonal polynomials] ... Hermite polynomial, Turán's inequalities are: whilst for Chebyshev polynomials they ... polynomials found by (and first published by ). ...
8. Hermite number [52%] (Computing) [Integer sequences] ... physicists' Hermite polynomials. Contents 1 ... In mathematics, Hermite numbers are values of Hermite polynomials at zero ...
9. Plancherel–Rotach asymptotics [51%] (Computing) [Orthogonal polynomials] [Asymptotic analysis] [Analysis] ... orthogonal polynomials are referred to as ... asymptotics for the Hermite polynomial ... polynomials Let denote the n-th Hermite ...
10. Hermite class [48%] (Computing) [Analytic functions] ... function of Hermite class can be expressed as the limit of a series of polynomials ... The Hermite or Pólya class is a set of ...
11. List of polynomial topics [46%] (Computing) [Polynomials] [Mathematics-related lists] ... polynomials and polynomial sequences 9 Knot ... Calculus with polynomials 5 Polynomial ... Hermite polynomials Hurwitz polynomial Jack ...
12. Rodrigues' formula [45%] (Computing) [Orthogonal polynomials] ... polynomials independently introduced by , and . ... formula for the Hermite polynomials can be ... Hermite polynomials :Rodrigues stated his ...
13. Hermite polynomials [42%] (Computing) [Special hypergeometric functions] [Polynomials] [Orthogonal polynomials] ... the hermite polynomials can be defined ... in mathematics, the hermite polynomials ...
14. Polynomials [42%] (Category) [Numerical analysis] [Abstract algebra] [Algebra] ... articles in the Polynomials category of the ... polynomials Hermite polynomials Hilbert's ...
15. Orthogonal polynomials [39%] (Computing) [Articles containing proofs] [Orthogonal polynomials] ... Short description: Set of polynomials ... different orders of Hermite polynomials ...
16. Hermite normal form [39%] (Computing) [Matrix normal forms] [Linear algebra] ... In linear algebra, the Hermite normal ... Hermite normal form for the polynomials ...
17. Hermite transform [36%] (Computing) [Mathematical physics] [Integral transforms] ... In mathematics, Hermite transform is an ... Hermite polynomials [math]\displaystyle{ ...
18. Charlier polynomials [36%] (Computing) [Orthogonal polynomials] ... are a family of orthogonal polynomials ... In mathematics, Charlier polynomials ...
19. Charles Hermite [34%] (Biography) [Number theorists] [Linear algebraists] ... (1822–1901) Charles Hermite Charles Hermite Born Dieuze, Moselle, France Died ...
20. Kravchuk polynomials [32%] (Computing) [Orthogonal polynomials] ... Kravchuk polynomials or Krawtchouk ... Krawtchouk matrix Hermite polynomials ...
21. Classical orthogonal polynomials [32%] (Computing) [Special hypergeometric functions] [Orthogonal polynomials] [Articles containing proofs] ... respectively). hermite polynomials the hermite ... polynomials 3.6 hermite polynomials 4 ...
22. Babenko–Beckner inequality [31%] (Computing) [Inequalities] ... of q . Finally, in 1975, using Hermite ... terms of the Hermite polynomials with ...
23. Laguerre polynomials [30%] (Computing) [Special hypergeometric functions] [Orthogonal polynomials] [Polynomials] ... Relation to Hermite polynomials The ... theorems 6 Relation to Hermite polynomials 7 ...
24. Mehler kernel [30%] (Computing) [Multivariate continuous distributions] [Mathematical physics] [Orthogonal polynomials] ... exp(−x2)) to "probabilist's" Hermite polynomials ... terms of Hermite polynomials H(.) based ...
25. Christoffel–Darboux formula [29%] (Computing) [Functional analysis] [Orthogonal polynomials] ... term of a set of orthogonal polynomials ... Hermite polynomials : \sum_{k=0}^n ...
26. Matching polynomial [28%] (Computing) [Graph invariants] [Polynomials] [Matching (graph theory)] ... polynomials 3 Complementation 4 Applications ... is one of several graph polynomials ...
27. List of special functions and eponyms [28%] (Computing) [Mathematics-related lists] [Special functions] ... polynomials - Abelian function - ... Charles Hermite: Hermite polynomials Karl L. ...
28. List of eponyms of special functions [28%] (Computing) [Mathematics-related lists] [Special functions] ... Abel: Abel polynomials - Abelian function - ... Charles Hermite: Hermite polynomials Karl L. ...
29. Binomial QMF [28%] (Computing) [Orthogonal wavelets] ... family of binomial polynomials for subband ... coefficient and Hermite polynomials wherein ...
30. Askey scheme [27%] (Computing) [Q-analogs] [Hypergeometric functions] [Orthogonal polynomials] ... orthogonal polynomials of hypergeometric or ... orthogonal polynomials In mathematics, the ...
31. Appell sequence [25%] (Computing) [Polynomials] ... Hermite polynomials, the Bernoulli ... the Hermite polynomials ...
32. Sheffer sequence [25%] (Computing) [Factorial and binomial topics] [Polynomials] ... linear operator Q on polynomials in x by ... 3, ...) of polynomials in which the ...
33. Proof that π is irrational [25%] (Computing) [Irrational numbers] ... particular, Hermite also gave a closed expression ... Hermite found a proof that requires no ...
34. Orthogonal functions [24%] (Computing) [Types of functions] [Functional analysis] ... its Fourier series. Polynomials If one ... Polynomials 3 Binary-valued functions 4 ...
35. Hermite interpolation [24%] (Computing) [Factorial and binomial topics] [Finite differences] [Interpolation] ... function. Instead, Hermite interpolation ... numerical analysis, Hermite interpolation, named ...
36. Cubic Hermite spline [23%] (Computing) [Interpolation] [Splines (mathematics)] ... with Hermite polynomial. In numerical analysis, a cubic Hermite spline or cubic ...
37. Thomas Joannes Stieltjes [22%] (Biography) [19th-century mathematicians] ... a correspondence with Charles Hermite ... Doctoral advisor Charles Hermite Jean Gaston ...
38. Sylvester's formula [22%] (Computing) [Matrix theory] ... Arthur Buchheim, based on Hermite ... Lagrange polynomials of . Conditions ...
39. Finite differences [22%] (Category) [Factorial and binomial topics] [First order methods] [Numerical analysis] ... Earth:Geodesic grid H Hermite ... Delta operator Difference polynomials ...
40. Bell polynomials [22%] (Computing) [Polynomials] [Enumerative combinatorics] ... B_{n,k}(\mu'_1,\ldots,\mu'_{n-k+1}). }[/math] Hermite polynomials Main page: Hermite polynomials Hermite ...
41. Secondary measure [22%] (Computing) [Measures (measure theory)] ... system of Hermite polynomials are null ... Hermite polynomials are linked to the ...
42. Josef Meixner [22%] (Biography) [Rheologists] ... Meixner polynomials Meixner–Pollaczek polynomials Scientific career Fields Physics ...
43. Legendre polynomials [20%] (Computing) [Polynomials] [Orthogonal polynomials] [Special hypergeometric functions] ... and orthogonal polynomials The first six Legendre polynomials In mathematics, ...
44. Telephone number [20%] (Computing) [Permutations] [Matching (graph theory)] [Factorial and binomial topics] ... exponential generating function of the Hermite ... values of coefficients of the Hermite ...
45. Wick product [20%] (Computing) [Algebra of random variables] ... sequence of polynomials Pn such that ... polynomials or Hermite polynomials. The ...
46. Hyperfactorial [19%] (Computing) [Factorial and binomial topics] [Integer sequences] ... the sequence of discriminants of Hermite polynomials in their probabilistic ...
47. Lamé function [19%] (Computing) [Special functions] ... terms of polynomials called Lamé polynomials . The Lamé equation Lamé's equation ...
48. Elimination theory [19%] (Computing) [Computer algebra] [Algebraic geometry] ... some variables between polynomials of ... variables between polynomials In ...
49. Weierstrass transform [19%] (Computing) [Mathematical physics] [Integral transforms] ... (physicists') Hermite polynomials Hn. ... function for the Hermite polynomials is ...
50. Chebyshev polynomials [18%] (Computing) [Approximation theory] [Polynomials] [Orthogonal polynomials] ... complexplot3d the chebyshev polynomials are two sequences of polynomials related ...
51. Polynomial chaos [17%] (Computing) [Stochastic processes] ... }[/math]-th degree Hermite polynomials ... Hermite polynomials to model stochastic ...
52. Orthogonality [17%] (Computing) [Linear algebra] [Abstract algebra] ... polynomials. In particular:* The Hermite ... Orthogonal polynomials Various polynomial ...
53. Spearman's rank correlation coefficient [17%] (Computing) [Statistical tests] [Nonparametric statistics] [Covariance and correlation] ... the use of Hermite series based estimators. These estimators, based on Hermite ...
54. Ternary cubic [17%] (Computing) [Invariant theory] ... contravariant of degree 5 and class 3. The Hermite ... when written as polynomials in the ...
55. Factorial and binomial topics [17%] (Category) [Analytic number theory] [Combinatorics] ... number Gould's sequence H Hermite ... polynomials Dixon's identity Double ...
56. Spline [15%] (Computing) [Interpolation] [Splines (mathematics)] ... polynomials are zero at the endpoints of the ... our discussion to polynomials in one ...
57. Auxiliary function [14%] (Computing) [Diophantine approximation] [Number theory] ... particular he chose polynomials A(x) ... Hermite extended the work of Fourier by ...
58. Associated Legendre polynomials [14%] (Physics) [Orthogonal polynomials] [Atomic physics] ... polynomials are the canonical solutions of the ... polynomials Hermite polynomials Notes and ...
59. Gaussian quadrature [14%] (Computing) [Numerical integration (quadrature)] ... polynomials was developed by carl gustav jacobi in ... for polynomials of degree 2n − 1 or less ...
60. List of real analysis topics [14%] (Computing) [Mathematics-related lists] [Outlines] [Outlines of mathematics and logic] ... Orthogonal polynomials 4.5 Spaces 4.6 ... orthogonal polynomials Hermite polynomials ...
61. Spline interpolation [14%] (Computing) [Interpolation] [Splines (mathematics)] ... example, fitting nine cubic polynomials ... interpolation fits low-degree polynomials to ...
62. White noise analysis [13%] (Computing) [Generalized functions] [Stochastic calculus] ... polynomials An orthonormal basis in this Hilbert ... polynomials 2.2 Gelfand triples 3 T- and ...
63. Lindemann–Weierstrass theorem [13%] (Computing) [Transcendental numbers] [Theorems in number theory] [Exponentials] ... symmetric polynomials of the above variables, ... Charles Hermite first proved the simpler ...
64. Smoothstep [13%] (Computing) [Computer graphics algorithms] ... }[/math], the cubic Hermite interpolation ... interpolates, using a Hermite polynomial, ...
65. Lagrange polynomial [12%] (Computing) [Articles containing proofs] [Polynomials] [Interpolation] ... sum of the scaled basis polynomials ... Short description: Polynomials used for ...
66. Chinese remainder theorem [12%] (Computing) [Theorems in number theory] [Modular arithmetic] [Commutative algebra] ... polynomials instead of integers. let ... interpolation 6.2 hermite interpolation 7 ...
67. Gösta Mittag-Leffler [12%] (Biography) [Complex analysts] ... through his former teacher Charles Hermite ... Hermite on elliptic functions, but found ...
68. Canonical form [12%] (Computing) [Formalism (deductive)] [Mathematical terminology] [Concepts in logic] ... admirable friend M. Hermite well proposes to ... polynomials are conventionally written ...
69. Glossary of invariant theory [12%] (Computing) [History of mathematics] [Glossaries of mathematics] [Invariant theory] ... acting on the polynomials over Sn(V)⊕V. ... acting on the polynomials over ...
70. Diophantine equation [12%] (Computing) [Diophantine equations] ... Hermite normal form does not directly ... arbitrary integers. Hermite normal form ...
71. Orthogonality [12%] (Computing) [Linear algebra] [Abstract algebra] ... polynomials 2.4.2 Orthogonal states in quantum ... Hermite polynomials are orthogonal with ...
72. Edgeworth series [12%] (Computing) [Statistical approximations] [Mathematical series] ... of Hermite polynomial as ... polynomials as [math]\displaystyle{ ...
73. List of numerical analysis topics [11%] (Computing) [Outlines] [Outlines of mathematics and logic] [Mathematics-related lists] ... chebyshev polynomials chebyshev nodes ... by polynomials linear interpolation ...
74. Polynomial interpolation [11%] (Computing) [Articles containing proofs] [Polynomials] [Interpolation] ... of interpolation polynomials was to ... formulas, the lagrange polynomials and newton ...
75. Pseudo-spectral method [11%] (Computing) [Numerical analysis] ... quadrature for polynomials and the Discrete ... Fourier method 3.2 Polynomials 4 ...
76. Quintic function [11%] (Computing) [Polynomial functions] [Galois theory] [Equations] ... generally solvable polynomials of ... reduces immediately to solving polynomials ...
77. Differential algebra [11%] (Computing) [Differential algebra] ... special and normal polynomials 5.8 ... differential polynomials 4 elimination ...
78. Cubic function [11%] (Computing) [Polynomial functions] [Calculus] ... values, which is called a cubic Hermite ... odd-degree polynomials with real ...
79. Transcendental number theory [11%] (Computing) [Analytic number theory] ... Roth 2.2 Auxiliary functions: Hermite to ... that are not solutions of polynomials with ...
80. Quantum harmonic oscillator [11%] (Physics) [Oscillators] [Quantum models] ... basis, they amount to hermite functions, ... excited states are hermite polynomials ...
81. Riesz–Fischer theorem [11%] (Computing) [Theorems in real analysis] [Fourier series] ... in R (e.g. Fourier basis, Hermite or Laguerre polynomials , etc. – see orthogonal ...
82. Linear algebra [11%] (Category) [Algebra] ... Hermite normal form Hilbert space ... Polynomials Affine geometry Subcategories This ...
83. Discriminant [10%] (Computing) [Algebraic number theory] [Determinants] [Quadratic forms] ... theorem of symmetric polynomials and ... homomorphisms 4.4 product of polynomials ...
84. Oscillator representation [10%] (Computing) [Theta functions] [Quantum mechanics] [Representation theory] ... quadratic polynomials in these ... 11 harmonic oscillator and hermite ...
85. Daubechies wavelet [10%] (Computing) [Orthogonal wavelets] ... easily encodes polynomials of one ... and Hermite polynomials that led to the ...
86. Timeline of algebra [10%] (Computing) [Mathematics timelines] ... algebra. 1873 Charles Hermite proves that ... discovered the derivative of cubic polynomials ...
87. Ornstein–Uhlenbeck process [9%] (Computing) [Variants of random walks] [Markov processes] [Stochastic differential equations] ... Hermite polynomials . Its solutions are , ...
88. Confluent hypergeometric function [9%] (Computing) [Special functions] [Special hypergeometric functions] [Hypergeometric functions] ... theorem 6 Connection with Laguerre polynomials ... Hermite polynomials Incomplete gamma function ...
89. Newton polynomial [9%] (Computing) [Polynomials] [Factorial and binomial topics] [Finite differences] ... }[/math] with the Newton basis polynomials ... basis polynomials [math]\displaystyle{ ...
90. Interpolation [9%] (Computing) [Video signal] [Interpolation] ... high-degree polynomials used in polynomial ... interpolation uses low-degree polynomials in ...
91. Digamma function [8%] (Computing) [Gamma and related functions] ... }[/math] where p(n) and q(n) are polynomials ... numbers and bernoulli polynomials of the ...
92. Generalized hypergeometric function [8%] (Computing) [Mathematical series] [Ordinary differential equations] [Hypergeometric functions] ... polynomials in n. for example, in the case ... hermite polynomials can be expressed in ...
93. Ideal lattice cryptography [8%] (Computing) [Post-quantum cryptography] [Lattice-based cryptography] [Number theory] ... b, matrix b is already in hermite ... identification of polynomials with vectors, the ...
94. Ideal lattice [8%] (Computing) [Post-quantum cryptography] [Lattice-based cryptography] [Number theory] ... b, matrix b is already in hermite ... polynomials with vectors, the quotient ring ...
95. Bolza surface [8%] (Computing) [Systolic geometry] [Riemann surfaces] ... radius Hermite constant Higher systoles ... on elliptic curves Division polynomials ...
96. Integral transform [8%] (Computing) [Integral transforms] ... }[/math] Hermite transform ... this example, polynomials in the ...
97. Wave function [8%] (Computing) [Waves] [Quantum states] ... Too many hits. Results are not shown. ...
98. Fourier transform [7%] (Computing) [Mathematical physics] [Unitary operators] [Integral transforms] ... Too many hits. Results are not shown. ...
99. Field [7%] (Computing) [Abstract algebra] [Algebraic structures] [Field theory] ... as the product of two polynomials in of ... liouville's work in 1844, until charles hermite ...
100. Stieltjes constants [7%] (Computing) [Mathematical constants] [Zeta and L-functions] ... polynomials given by the generating ... where ψn(a) are the bernoulli polynomials ...
101. Q-analogs [68%] (Category) [Elliptic functions] [Combinatorics] ... polynomials D Discrete q-Hermite polynomials Dual q-Hahn ... Continuous q-Hahn polynomials Continuous q-Hermite ... -Legendre polynomials C Continuous big q-Hermite ...
102. Rogers–Szegő polynomials [63%] (Computing) [Q-analogs] [Orthogonal polynomials] ... In mathematics, the Rogers–Szegő polynomials are a family of polynomials orthogonal on the unit ... by the continuous q -Hermite polynomials studied by Leonard ...
103. Discrete q-Hermite polynomials [57%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] ... called discrete q-Hermite I polynomials and ĥn(x;q) is also called discrete q-Hermite II polynomials. Definition The discrete q-Hermite polynomials ...
104. Continuous big q-Hermite polynomials [57%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] ... /wiki/Continuous big q-Hermite polynomials. Read ... -Hermite polynomials", Journal of Mathematical Physics ... , the continuous big q-Hermite polynomials are a family ...
105. Continuous q-Hermite polynomials [38%] (Computing) [Special hypergeometric functions] [Q-analogs] [Orthogonal polynomials] ... In mathematics, the continuous q-Hermite polynomials are a family of basic hypergeometric ... ://en.wikipedia.org/wiki/Continuous q-Hermite polynomials. Read ...
106. Hermite distribution [33%] (Computing) [Discrete distributions] ... because a variable that is Hermite distributed ... Distribution for discrete event counts Hermite ... of the coefficients of (modified) Hermite polynomials. Contents 1 ...
107. Permutation polynomial [24%] (Computing) [Permutations] [Polynomials] ... , the Dickson polynomials, which are closely related to the Chebyshev polynomials, provide examples. Over ... polynomials is given by (Hermite's Criterion)[5 ...
108. Ervin Feldheim [24%] (Biography) [Approximation theorists] ... of ultraspherical polynomials". Journal d'Analyse ... , Laguerre et Hermite". Acta Mathematica 75 (1 ...
109. Iterative rational Krylov algorithm [22%] (Computing) [Mathematical modeling] [Numerical analysis] ... is a fraction of polynomials: [math]\displaystyle{ G(s ... problem 2 Meier–Luenberger conditions 3 Hermite ... ] At each iteration, IRKA does an Hermite type ...
110. Kobayashi–Hitchin correspondence [19%] (Computing) [Vector bundles] ... of Hermitian Yang–Mills connection s (or Hermite–Einstein ... on the existence of Hermite–Einstein metrics, as well as her ... of Hermite–Einstein metrics on stable holomorphic vector ...
111. Bernoulli polynomials [19%] (Computing) [Polynomials] [Number theory] [Special functions] ... polynomials In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine ... sequences. (Hermite polynomials are another example ...
112. Regular singular point [17%] (Computing) [Complex analysis] [Ordinary differential equations] ... and ∞. Hermite differential equation One encounters ... of polynomials, then there will be an irregular ... differential equation 2.3 Hermite differential ...
113. Gaussian beam [16%] (Physics) [Electromagnetic radiation] [Laser science] [Physical optics] ... Higher-order modes 7.1 Hermite-Gaussian modes 7.2 ... single Hermite–Gaussian (or Laguerre–Gaussian) mode ... can be expressed as combinations of Hermite–Gaussian ...
114. Pascal matrix [15%] (Computing) [Triangles of numbers] [Matrices] ... Weisstein, Eric W. "Hermite Polynomial". Hermite ... of coefficients of Laguerre polynomials [math ... Hermite polynomials Hen(x)) (Related to Gauss ...
115. Lattice reduction [15%] (Computing) [Post-quantum cryptography] [Lattice-based cryptography] [Linear algebra] ... Hermite-Korkine-Zolotarev Reduced Lattice Bases ... polynomials with rational coefficients ... Q. (2009). "Hermite’s Constant and Lattice ...
116. Benini distribution [15%] (Computing) [Continuous distributions] ... ] is the "probabilists' Hermite polynomials" Median [math ...
117. Articles containing proofs [15%] (Category) [Mathematical proofs] ... –Cantor theorem Helly's theorem Hermite's identity ... polynomials Commutator subgroup Compact operator ...
118. Algebraic equation [14%] (Computing) [Equations] [Polynomials] ... in the variable T. Theory Polynomials Given ... is equivalent to the study of polynomials. A polynomial ... Areas of study 4 Theory 4.1 Polynomials 4.2 Existence ...
119. Outline of trigonometry [14%] (Computing) [Mathematics-related lists] [Trigonometry] [Outlines] ... trigonometry Spread polynomials Numerical mathematics ... polynomials Conway triangle notation Exact ... ) De Moivre's formula Euler's formula Hermite's ...
120. Partial fraction decomposition [14%] (Computing) [Elementary algebra] [Algebra] ... into polynomials of positive degrees), and the numerator ... are polynomials, is its expression as [math]\displaystyle ... such that the numerator and the denominator are both polynomials ...
121. Bring radical [14%] (Computing) [Special hypergeometric functions] [Polynomials] [Equations] ... ) by Charles Hermite in 1858, and further methods later ... is required by the Hermite–Kronecker–Brioschi method ... The Hermite–Kronecker–Brioschi characterization ...