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Some new approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants by continued fraction

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Indexed by:期刊论文

Date of Publication:2016-06-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:163

Page Number:434-448

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 continued fraction approximations, inequalities and rates of convergence of Glaisher-Kinkelin's and Bendersky-Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences and Mortici's sequences, some numerical computations are also given. (c) 2016 Elsevier Inc. All rights reserved.

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