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Some New Convergent Sequences of Glaisher–Kinkelin’s and Bendersky–Adamchik’s Constants

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Abstract

In this paper, we provide some new logarithm and polynomial approximations, inequalities and rates of convergence of Glaisher–Kinkelin’s and Bendersky–Adamchik’s constants. 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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China

    Dawei Lu & Songhao Liu

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  1. Dawei Lu
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  2. Songhao Liu
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Correspondence to Dawei Lu.

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Lu, D., Liu, S. Some New Convergent Sequences of Glaisher–Kinkelin’s and Bendersky–Adamchik’s Constants. Results Math 71, 225–240 (2017). https://doi.org/10.1007/s00025-015-0497-4

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  • DOI: https://doi.org/10.1007/s00025-015-0497-4

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