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Indexed by:期刊论文

Date of Publication:2014-11-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:144

Page Number:340-352

ISSN No.: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.