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A note on Stirling’s formula for the gamma function

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Title: A note on Stirling’s formula for the gamma function

Authors: Dorin Ervin Dutkay, Constantin P. Niculescu, Florin Popovici

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2012

Volume: 1

Issue: 1

Language: English

Keywords: Stirling’s formulaGamma functionGauss product formula

Categories
Gamma Function (1) Stirling's Approximation (1) Analysis (236) Mathematics (5170) Special Functions (13)

Abstract

We present a new short proof of Stirling’s formula for the Gamma function. Our approach is based on the Gauss product formula and on a remark concerning the existence of horizontal asymptotes.

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