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论文类型：期刊论文

发表时间：2017-06-01

发表刊物：RESULTS IN MATHEMATICS

收录刊物：SCIE、Scopus

卷号：71

期号：3-4

页面范围：731-747

ISSN号：1422-6383

关键字：Glaisher-Kinkelin's constant; Bendersky-Adamchik's constants; continued fraction; 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. 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.