Asymptotic expansions of the gamma function and Wallis function through polygamma functions

被引：6

作者：

Buric, Tomislav ^{[1
]}

Elezovic, Neven ^{[1
]}

Vuksic, Lenka ^{[1
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 02期

关键词：

asymptotic expansion; gamma function; polygamma functions; Bernoulli polynomials;

D O I：

10.1080/10652469.2013.830116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new view on classical asymptotic expansions of the logarithm of gamma function is given. Then general formulae for the asymptotic expansions of the logarithm of gamma function and the Wallis power function through polygamma functions are derived and analysed.

引用

页码：163 / 172

页数：10

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