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

页码：81 / 88

页数：8

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