Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-11-01

Journal: JOURNAL OF NUMBER THEORY

Included Journals: SCIE

Volume: 144

Page Number: 340-352

ISSN: 0022-314X

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

Abstract: 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.