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A class of logarithmically completely monotonic functions associated with the gamma function
Authors:Senlin Guo  Feng Qi
Institution:1. Department of Mathematics, Zhongyuan University of Technology, Zhengzhou City, Henan Province, 450007, China;2. Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China
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.
Keywords:primary  26A48  26D07  secondary  33B15
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