A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function

被引：19
|
作者：
Zhao, Tie-Hong [1 ]
Chu, Yu-Ming [1 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年
基金：
美国国家科学基金会;
关键词：
FUNCTION INEQUALITIES; POLYGAMMA FUNCTIONS; INCOMPLETE GAMMA; PSI FUNCTIONS; BOUNDS; DIGAMMA;
D O I：
10.1155/2010/392431
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the function G(alpha,beta)(x) = e(x)Gamma(x + a)/(x + beta)(x+beta) is strictly logarithmically completely monotonic on (0, infinity) if and only if (alpha, beta) is an element of {(alpha, beta) : 0 < alpha <= beta} and [G(alpha,beta) (x)](-1) is strictly logarithmically completely monotonic on (0, infinity) if and only if (alpha, beta) is an element of {(alpha, beta) : 0 < beta <= alpha -1/2}.
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页数：11
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