Astronomy:Strömgren integral
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Short description: Operation in mathematical calculus
In mathematics and astrophysics, the Strömgren integral, introduced by Bengt Strömgren (1932, p.123) while computing the Rosseland mean opacity, is the integral:
- [math]\displaystyle{ \frac{15}{4\pi^4}\int_0^x \frac{t^7e^{2t}}{(e^t-1)^3} \, dt . }[/math]
(Cox 1964) discussed applications of the Strömgren integral in astrophysics, and (MacLeod 1996) discussed how to compute it.
References
- Cox, A. N. (1964), "Stellar absorption coefficients and opacities", in Adler, Lawrence Hugh; McLaughlin, Dean Benjamin, Stellar Structure, Stars and Stellar Systems: Compendium of Astronomy and Astrophysics, VIII, Chicago, Ill: University of Chicago Press, p. 195, ISBN 978-0-226-45969-1, https://books.google.com/books?id=ldpUAAAAYAAJ
- MacLeod, Allan J. (1996), "Algorithm 757: MISCFUN, a software package to compute uncommon special functions", ACM Transactions on Mathematical Software (NY, USA: ACM New York) 22 (3): 288–301, doi:10.1145/232826.232846
- Strömgren, B. (1932), "The opacity of stellar matter and the hydrogen content of the stars", Zeitschrift für Astrophysik 4: 118–152, Bibcode: 1932ZA......4..118S
- Strömgren, B. (1933), "On the Interpretation of the Hertzsprung-Russell-Diagram", Zeitschrift für Astrophysik 7: 222, Bibcode: 1933ZA......7..222S
External links
Original source: https://en.wikipedia.org/wiki/Strömgren integral.
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