COMPLETE MONOTONICITY PROPERTIES OF FUNCTIONS INVOLVING q-GAMMA AND q-DIGAMMA FUNCTIONS

被引：16

作者：

Salem, A. ^{[1
]}

机构：

[1] Al Jouf Univ, Fac Sci, Dept Math, Sakaka, Al Jouf, Saudi Arabia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 03期

关键词：

Completely monotonic function; q-gamma and q-polygamma functions; q-harmonic number; q-Stirling formula; dilogarithm function; INEQUALITIES;

D O I：

10.7153/mia-17-58

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the q-analogue of the Stirling formula (the Moak formula) for the q-gamma function is exploited to prove the complete monotonicity property of functions involving the q-gamma and the q-digamma functions. The monotonicity of these functions is used to establish sharp inequalities for the q-gamma and the q-polygamma functions and the q-Harmonic number.

引用

页码：801 / 811

页数：11

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