LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GENERALIZED GAMMA AND q- GAMMA FUNCTIONS

被引：0
|
作者：
Krasniqi, Valmir [1 ]
Guo, Senlin [2 ]
机构：
[1] Univ Prishtina, Dept Math, Prishtine 10000, Pristina, Kosovo
[2] Zhongyuan Univ Tech, Zhengzhou 450007, Henan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | 2010年 / 1卷 / 02期
关键词：
Completely monotonic function; logarithmically completely monotonic function; Gamma function; Psi function; inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that the function f(alpha,beta,p) (x) = Gamma(p()x vertical bar beta)/p(x)x(x)+beta-alpha(x+p)(x+p+beta-alpha) is logarithmically completely monotonic on (0, infinity) if 2 alpha <= 1 <= beta, and the function g(m,alpha) (x) = x(alpha) (vertical bar psi((m))(p) (x)vertical bar - ((m-1)!)(xm) vertical bar (m(m-1)!)((x vertical bar p))) is strictly completely monotonic on (0, infinity) fora <= 1.
引用
收藏
页码：8 / 16
页数：9
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