About the Stirling formula
https://doi.org/10.22405/2226-8383-2021-22-5-350-353
Abstract
In this paper the version of the Stirling formula is found. It is the useful and siutable for applications. A deduction of this formula is based on two the Euler’s statements: the expansion of the Gamma-function into the infinite product and the Euler–MacLauren summation formula of values of the smooth function over integers.
About the Author
Azar Ghyasi
Allameh Tabatabai University
Islamic Republic of Iran
Islamic Republic of Iran
department of mathematics, faculty of statistics, mathematics, and computer
References
1. de la Vallee Poussin Ch.-J. 1912. Cours de Analyse Infinitesimale — Paris.
2. Arkhipov G. I.„ Sadovnichii V. A., Chubarikov V. N. 2004. Lecture on mathematical analysis. 4th Ed., corr. — M.: Drofa. 435-437.
Review
For citations:
Ghyasi A. About the Stirling formula. Chebyshevskii Sbornik. 2021;22(5):350-353. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-5-350-353
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