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Indexed by:期刊论文

Date of Publication:2017-01-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:170

Page Number:302-314

ISSN No.:0022-314X

Key Words:Gamma function; Continued fraction; Rate of convergence; The volume of the unit; n-dimensional ball; Inequalities; Asymptotic formula

Abstract:In this paper, based on some early works, we establish a general continued fraction approximation for the nth root of the volume of the unit n-dimensional ball. Then related inequalities are given. Finally, for demonstrating the superiority of our new estimates and inequalities, we present some numerical computations. (C) 2016 Elsevier Inc. All rights reserved.