COMPLETELY MONOTONIC FUNCTIONS RELATED TO GURLAND'S RATIO FOR THE GAMMA FUNCTION

被引：8

作者：

Chen, Chao-Ping ^{[1
]}

Choi, Junesang ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan, Peoples R China

[2] Dongguk Univ, Dept Math, Gyeongju 38066, South Korea

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 03期

关键词：

Gamma function; psi function; polygamma functions; completely monotonic function; Gurland's ratio;

D O I：

10.7153/mia-20-43

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The subject of complete monotonicity for functions has gained considerable popularity and importance from a rather long ago up to now, due mainly to its demonstrated applications in getting diverse inequalities. Here, we investigate some completely monotonic functions related to Gurland's ratio for the gamma function. Certain relevant connections of the results presented here with those earlier ones are also pointed out. Further, an interesting open conjecture regarding our present concern is posed.

引用

页码：651 / 659

页数：9

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