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论文类型：期刊论文

发表时间：2014-12-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：145

页面范围：317-328

ISSN号：0022-314X

关键字：Burnside's formula; Stirling's formula; Continued fraction; Factorial function; Rate of convergence

摘要：In this paper, based on the Burnside's formula and our early works, a general continued fraction 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 Burnside's formula and our early formulas, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.