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BRIEF MESSAGE
About the Stirling formula
A. Ghiyasi Allameh Tabatabai University (Iran)
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
Citation:
A. Ghiyasi, “About the Stirling formula”, Chebyshevskii Sb., 22:5 (2021), 350–353
Linking options:
https://www.mathnet.ru/eng/cheb1139 https://www.mathnet.ru/eng/cheb/v22/i5/p350
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Abstract page: | 86 | Full-text PDF : | 182 | References: | 17 |
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