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Chebyshevskii Sbornik, 2021, Volume 22, Issue 5, Pages 350–353
DOI: https://doi.org/10.22405/2226-8383-2021-22-5-350-353 (Mi cheb1139) 		 
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About the Stirling formula

A. Ghiyasi

Allameh Tabatabai University (Iran)
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DOI: 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.
Keywords: Euler gamma-function, Stirling formula, Euler–MacLauren–Sonin summation formula.
Received: 14.09.2021
Accepted: 21.12.2021
Document Type: Article
UDC: 511.3
Language: Russian
Citation: A. Ghiyasi, “About the Stirling formula”, Chebyshevskii Sb., 22:5 (2021), 350–353
Citation in format AMSBIB
\Bibitem{Ghi21}
\by A.~Ghiyasi
\paper About the Stirling formula
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 5
\pages 350--353
\mathnet{http://mi.mathnet.ru/cheb1139}
\crossref{https://doi.org/10.22405/2226-8383-2021-22-5-350-353}
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