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论文类型：期刊论文

发表时间：2015-12-01

发表刊物：NUMERICAL ALGORITHMS

收录刊物：SCIE、Scopus

卷号：70

期号：4

页面范围：825-833

ISSN号：1017-1398

关键字：Nemes' formula; Stirling's formula; Continued fraction; Rate of convergence

摘要：In this paper, based on Nemes' formula, we construct a new quicker continued fraction approximation of the gamma function. Some inequalities are established. Finally, for demonstrating the superiority of our new series over the Nemes' formula, the Gosper's formula, the Windschitl's formula, the Stielties' formula and the Striling's formula, some numerical computations are given.