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

Cristinel Mortici

Applied Mathematics and Computation, 2017, vol. 294, issue C, 121-138

Abstract: 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.

Keywords: Gamma function; Volume of the unit ball; Asymptotic series; Approximations and estimates; Two-sided inequalities (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:121-138

DOI: 10.1016/j.amc.2016.08.027

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