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论文类型：期刊论文

发表时间：2014-03-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE、Scopus

卷号：136

页面范围：414-422

ISSN号：0022-314X

关键字：Burnside formula; Stirling formula; Rate of convergence

摘要：In this paper, based on Burnside's formula, a generated approximation of the factorial function and an inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over Burnside's formula and the classical Stirling's series, some numerical computations are given. (C) 2013 Elsevier Inc. All rights reserved.