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].
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页码：1214 / 1224
页数：11
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