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

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摘要

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.

论文关键词:primary,26A48,26D07,secondary,33B15,Logarithmically completely monotonic function,Completely monotonic function,Gamma function,Necessary condition,Sufficient condition,Sufficient and necessary condition

论文评审过程:Received 16 February 2008, Revised 8 April 2008, Available online 24 April 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.04.028