Sharp bounds for gamma function in terms of xx-1

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摘要

The aim of this paper is to present new approximations for the gamma function in terms of xx-1. The monotonicity and convexity of some involved functions are studied. As applications, sharp bounds are presented. It is also solved an open problem posed by Mortici (2013).

论文关键词：Gamma function,Inequalities,Series,Asymptotic series,Approximations,Complete monotonicity

论文评审过程：Available online 7 November 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.10.027