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Stirling's Formula and Its Extension for the Gamma Function.

Authors :
Ervin Dutkay, Dorin
Niculescu, Constantin P.
Popovici, Florin
Source :
American Mathematical Monthly. Oct2013, Vol. 120 Issue 8, p737-740. 4p.
Publication Year :
2013

Abstract

The article discusses formulas for gamma function introduced by Scottish mathematician James Stirling, named Stirling's formula and Stirling's formula for the Gamma function. It mentions the approach in the first case which relies upon analysis of Wallis formula given by English mathematician John Wallis. It states that the approach that provides estimation to the factorial used in probability and statistical physics.

Details

Language :
English
ISSN :
00029890
Volume :
120
Issue :
8
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
90597012
Full Text :
https://doi.org/10.4169/amer.math.monthly.120.08.737