Astronomy:Strömgren integral

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

• Stromgren integral