A new asymptotic expansion and some inequalities for the gamma function

JOURNAL OF NUMBER THEORY

卷:140

Article

Lu, Dawei¹  Wang, Xiaoguang¹ 

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

关键词: Gamma function;    Continued fraction;    Inequalities;    Burnside formula;   

DOI  :  10.1016/j.jnt.2014.01.025

来源: Elsevier

【 摘 要 】

In this paper, based on the Burnside formula, an asymptotic expansion 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 formula, the classical Stirling series and the Mortici sequences, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free