Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants

JOURNAL OF NUMBER THEORY

卷:144

Article

Lu, Dawei¹  Mortici, Cristinel² 

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

[2] Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania

关键词: Glaisher-Kinkelin's constant;    Bendersky-Adamchik's constants;    Rate of convergence;    Asymptotic expansion;   

DOI  :  10.1016/j.jnt.2014.05.015

来源: Elsevier

【 摘 要 】

In this paper, some new polynomial approximations, inequalities and rates of convergence of Claisher-Kinkelin's and Bendersky-Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free