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论文类型：期刊论文

发表时间：2017-01-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：170

页面范围：302-314

ISSN号：0022-314X

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

摘要：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.