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Taylor and Francis Group, Integral Transforms and Special Functions, 8(23), p. 557-566

DOI: 10.1080/10652469.2011.611331

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A class of logarithmically completely monotonic functions related to the gamma function with applications

Journal article published in 2012 by Senlin Guo, Feng Qi ORCID, H. M. Srivastava
This paper is available in a repository.
This paper is available in a repository.

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Abstract

In this article, a necessary and sufficient condition and a necessary condition are established for a class of functions involving the gamma function to be logarithmically completely monotonic on . As applications of the necessary and sufficient condition, several two-sided bounding inequalities for the psi and polygamma functions and the ratio of two gamma functions are derived.