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论文类型：期刊论文

发表时间：2016-06-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：163

页面范围：434-448

ISSN号：0022-314X

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

摘要：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.