Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-06-01

Journal: RESULTS IN MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 71

Issue: 3-4

Page Number: 731-747

ISSN: 1422-6383

Key Words: Glaisher-Kinkelin's constant; Bendersky-Adamchik's constants; continued fraction; 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. To demonstrate the superiority of our new convergent sequences over the classical sequences and Mortici's sequences, some numerical computations are also given at the end of this paper.