A complete monotonicity property of the gamma function

被引：144

作者：

Qi, F ^{[1
]}

Chen, CP ^{[1
]}

机构：

[1] Jiaozuo Inst Technol, Dept Appl Math & Informat, Henan 454000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 02期

基金：

美国国家科学基金会;

关键词：

gamma function; psi function; logarithmically completely monotonic function;

D O I：

10.1016/j.jmaa.2004.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A logarithmically completely monotonic function is completely monotonic. The function 1 - lnx +1/x ln Gamma(x + 1) is strictly completely monotonic on (0, infinity). The function (x)rootGamma(x+1)/x is strictly logarithmically completely monotonic on (0, infinity). (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：603 / 607

页数：5

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