Electronic Research Archive (Jun 2023)

Infinite series about harmonic numbers inspired by Ramanujan–like formulae

  • Chunli Li,
  • Wenchang Chu

DOI
https://doi.org/10.3934/era.2023236
Journal volume & issue
Vol. 31, no. 8
pp. 4611 – 4636

Abstract

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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