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On the Ramanujan Harmonic Number Expansion

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Abstract

In this paper, we give a recursive relation for determining the coefficients of Ramanujan’s asymptotic expansion for the nth harmonic number, without the Bernoulli numbers and polynomials.

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Authors and Affiliations

  1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, 454000, Henan Province, China

    Chao-Ping Chen

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  1. Chao-Ping Chen
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Correspondence to Chao-Ping Chen.

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Chen, CP. On the Ramanujan Harmonic Number Expansion. Results Math 74, 4 (2019). https://doi.org/10.1007/s00025-018-0925-3

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  • DOI: https://doi.org/10.1007/s00025-018-0925-3

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