Some new quicker convergences to Glaisher–Kinkelin’s and Bendersky–Adamchik’s constants

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摘要

In this paper, we provide some new sequences to approximate the Glaisher–Kinkelin’s constant and Bendersky–Adamchik’s constant, which are faster than the approximations in literature [1,2].

论文关键词:Glaisher–Kinkelin’s constant,Bendersky–Adamchik’s constant,Rate of convergence,Multiple-correction,Continued fraction

论文评审过程:Received 1 July 2015, Accepted 31 August 2015, Available online 22 September 2015, Version of Record 22 September 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.114