2007•Integral Transforms and Special FunctionsRequires access

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

Senlin Guo, Feng Qi, H. M. Srivastava

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.

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Key concepts: Mathematics, Monotonic function, Pure mathematics, Applied mathematics, Calculus (dental), Mathematical analysis, Medicine, Dentistry