A general asymptotic formula of the gamma function based on the Burnside's formula

JOURNAL OF NUMBER THEORY

卷:145

Article

Lu, Dawei¹  Feng, Jinghai¹  Ma, Cong-Xu¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

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

DOI  :  10.1016/j.jnt.2014.06.016

来源: Elsevier

【 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.

【 授权许可】

Free