New asymptotic expansions of the quotient of gamma functions

被引：21

作者：

Buric, Tomislav ^{[1
]}

Elezovic, Neven ^{[1
]}

机构：

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

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 05期

关键词：

gamma function; Bernoulli polynomials; Stirling formula; BOUNDS; INEQUALITY; RATIO;

D O I：

10.1080/10652469.2011.591393

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic expansions of the function [Gamma(x + t)/Gamma(x + s)](1/(t-s)) involving exponential function are given and analysed. An efficient algorithm for calculating coefficients of these expansions is obtained. An application to the asymptotic expansion of the central binomial coefficient is given.

引用

页码：355 / 368

页数：14

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