A complete monotonicity property of the gamma function

被引：143
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
收藏
页码：603 / 607
页数：5
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