A new quicker sequence convergent to Euler's constant

JOURNAL OF NUMBER THEORY

卷:136

Article

Lu, Dawei

关键词: Euler's constant;    Rate of convergence;    Asymptotic expansion;   

DOI  :  10.1016/j.jnt.2013.10.012

来源: Elsevier

【 摘 要 】

In this paper, a new quicker sequence convergent to Euler's constant is provided. Finally, for demonstrating the superiority of our new convergent sequence over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free