SOME GAMMA FUNCTION INEQUALITIES

被引：47
作者：
ALZER, H
机构：
来源：
MATHEMATICS OF COMPUTATION | 1993年 / 60卷 / 201期
关键词：
GAMMA FUNCTION; PSI FUNCTION; COMPLETE MONOTONICITY; INEQUALITIES; IDENTRIC MEAN; INFINITE DIVISIBILITY; LAPLACE TRANSFORM;
D O I：
10.2307/2153171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio GAMMA(x + 1)/GAMMA(x + s) are obtained and compared with related bounds given in part by J. D. Keckic and P. M. Vasic. Our results are further applied to obtain functions which are Laplace transforms of infinitely divisible probability measures.
引用
收藏
页码：337 / 346
页数：10
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