Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

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摘要

In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x+1)/Γx+12 and Γx+12.

论文关键词：Gamma function,Psi function,Polygamma functions,Asymptotic expansion,Completely monotonic functions,Inequality

论文评审过程：Available online 22 November 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.11.010