Infinite series about harmonic numbers inspired by Ramanujan–like formulae
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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-06-01
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Series: | Electronic Research Archive |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023236?viewType=HTML |
Summary: | 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. |
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ISSN: | 2688-1594 |