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论文类型：期刊论文

发表时间：2014-07-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：140

页面范围：215-225

ISSN号：0022-314X

关键字：Windschitl's formula; Inequalities; Rate of convergence; Stirling's formula; Factorial function; Gamma function; Continued fractions

摘要：In this paper, based on Windschitl'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 Windschitl's formula, Nemes' formula and three Mortici's formulas, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.