Some completely monotonic functions involving the gamma and polygamma functions

被引：61
|
作者：
Qi, F [1 ]
Guo, BN [1 ]
Chen, CP [1 ]
机构：
[1] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2006年 / 80卷
关键词：
completely monotonic function; logarithmically completely monotonic function; gamma function; polygamma function;
D O I：
10.1017/S1446788700011393
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The function [Gamma(x + 1)](1/x) (1 + 1/x)(x)/x is strictly logarithmically completely monotonic in (0, infinity). The function psi"(x + 2) + (1 + x(2))/x(2)(1 + x)(2) is strictly completely monotonic in (0, infinity).
引用
收藏
页码：81 / 88
页数：8
相关论文
共 50 条
12345