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Research Article | Open Access

Infinite series about harmonic numbersinspired by Ramanujan–like formulae

Chunli Li, Wenchang Chu( )
School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), China
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Abstract

By employing the coefficient extraction method from hypergeometric series, we shall establish numerous closed form evaluations for infinite series containing central binomial coefficients and harmonic numbers, including several conjectured ones made by Z.-W. Sun.

Keywords

harmonic numbercentral binomial coefficienthypergeometric series

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4611-4636
DOI: 10.3934/era.2023236

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Cite this article:
Li C, Chu W. Infinite series about harmonic numbersinspired by Ramanujan–like formulae. Electronic Research Archive, 2023, 31(8): 4611-4636. https://doi.org/10.3934/era.2023236

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Received: 08 March 2023
Revised: 17 June 2023
Accepted: 20 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)