Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic

Author: Guo Senlin  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.18, Iss.11, 2007-01, pp. : 819-826

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Abstract

In this article, necessary and sufficient conditions under which two classes of functions are, respectively, logarithmically completely monotonic and completely monotonic are presented. From these conditions, several two-sided inequalities for the ratio of two gamma functions are deduced.