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论文类型：期刊论文

发表时间：2013-10-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：406

期号：1

页面范围：287-292

ISSN号：0022-247X

关键字：Stirling formula; Rate of convergence; Gosper's formula; Ramanujan's formula

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