Strömgren integral

In mathematics and astrophysics, the Strömgren integral, introduced by Bengt Strömgren (1932, p.123) while computing the Rosseland mean opacity, is the integral:

{\frac {15}{4\pi ^{4}}}\int _{0}^{x}{\frac {t^{7}e^{{2t}}}{(e^{t}-1)^{3}}}\,dt.

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
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

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