# Stirling formula

2010 Mathematics Subject Classification: Primary: 33B15 [MSN][ZBL]


The representation (*) was established by J. Stirling (1730).

See Gamma-function for the corresponding asymptotic series (Stirling series) and additional references.

#### References

 [Br] N.G. de Bruijn, "Asymptotic methods in analysis", Dover, reprint (1981) [MaMa] G. Marsaglia, J.C.W. Marsaglia, "A new derivation of Stirling's approximation of $n!$" Amer. Math. Monthly, 97 (1990) pp. 826–829 [Na] V. Namias, "A simple derivation of Stirling's asymptotic series" Amer. Math. Monthly, 93 (1986) pp. 25–29
How to Cite This Entry:
Stirling formula. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Stirling_formula&oldid=24807
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article