A class of logarithmically completely monotonic functions associated with the gamma function

Authors:
Senlin Guo;Feng Qi
Affiliations:
Department of Mathematics, Zhongyuan University of Technology, Zhengzhou City, Henan Province, 450007, China;Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 1
Cited 1

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Complete monotonicity results for some functions involving the gamma and polygamma functions

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Abstract

In this article, a necessary condition, several sufficient conditions and a sufficient and necessary condition for a class of functions involving the gamma function to be logarithmically completely monotonic are established, and then some known results are extended.