Real Analysis Exchange

A note on an identity of the gamma function and Stirling’s formula.

Yuan-Chuan Li

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Abstract

Short and elementary proofs of the well-known Stirling formula for the discrete Gamma function $\Gamma(n)$ have been given by several authors. In this note, a well-known identity and Stirling's formula for the continuous Gamma function $\Gamma(x)$ are deduced in a different and short way from a simple and elementary proposition.

Article information

Source
Real Anal. Exchange, Volume 32, Number 1 (2006), 267-272.

Dates
First available in Project Euclid: 17 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.rae/1184700051

Mathematical Reviews number (MathSciNet)
MR2329236

Zentralblatt MATH identifier
1200.33004

Subjects
Primary: 38B15
Secondary: 54A41

Keywords
convex function Gamma function Stirling's formula

Citation

Li, Yuan-Chuan. A note on an identity of the gamma function and Stirling’s formula. Real Anal. Exchange 32 (2006), no. 1, 267--272. https://projecteuclid.org/euclid.rae/1184700051


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