Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-01

Journal: JOURNAL OF NUMBER THEORY

Included Journals: Scopus、SCIE

Volume: 136

Page Number: 320-329

ISSN: 0022-314X

Key Words: Euler's constant; Rate of convergence; Asymptotic expansion

Abstract: 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.