Series associated to some expressions involving the volume of the unit ball and applications

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摘要

The aim of this paper is to construct asymptotic series associated to some expressions involving the volume of the n-dimensional unit ball. New refinements and sharpenings of some old and recent inequalities on the volume of the n-dimensional unit ball are presented.

论文关键词:Gamma function,Volume of the unit ball,Asymptotic series,Approximations and estimates,Two-sided inequalities

论文评审过程:Received 9 November 2015, Accepted 15 August 2016, Available online 28 September 2016, Version of Record 28 September 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.08.027