SOME COMPLETELY MONOTONIC FUNCTIONS ASSOCIATED WITH THE q-GAMMA AND THE q-POLYGAMMA FUNCTIONS

被引：0

作者：

Ahmed SALEM ^{[1
]}

Eid SKAMEL ^{[2
]}

机构：

[1] Department of Basic Science, Faculty of Information Systems & Computer Science,October University

[2] Department of Mathematics, Faculty Science, Al Jouf

来源：

Acta Mathematica Scientia(English Series) | 2015年 / 35卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

In this paper, theq-analogue of the Stirling formula for theq-gamma function(Moak formula) is exploited to prove the complete monotonicity properties of some functions involving theq-gamma and theq-polygamma functions for all real numberq >0. The monotonicity of these functions is used to establish sharp inequalities for theq-gamma and theq-polygamma functions and theq-Harmonic number. Our results are shown to be a generalization of results which were obtained by Selvi and Batir [23].

引用

页码：1214 / 1224

页数：11

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