A monotoneity property of the gamma function

被引：72

作者：

Anderson, GD ^{[1
]}

Qiu, SL

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Hangzhou Inst Elect Engn, Sch Sci & Arts, Hangzhou 310037, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 11期

关键词：

gamma function; psi function; monotoneity; inequalities;

D O I：

10.1090/S0002-9939-97-04152-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain a monotoneity property for the gamma function that yields sharp asymptotic estimates for Gamma(x) as x tends to infinity, thus proving a conjecture about Gamma(x).

引用

页码：3355 / 3362

页数：8

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