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论文类型：期刊论文

发表时间：2015-02-15

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI

卷号：253

页面范围：1-7

ISSN号：0096-3003

关键字：Gamma function; Nemes' formula; Ramanujan's formula; Burnside's formula; Asymptotic approximations; Rate of convergence

摘要：In this paper, we construct some new approximations of the gamma function based on Nemes' formula, Ramanujan's formula and Burnside's formula. Using these approximations, some inequalities are established. Finally, for demonstrating the superiority of our new approximation over Mortici's formula and other classical ones, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.