Series with harmonic-like numbers and squared binomial coefficients

DOI10.1216/rmj.2022.52.1849OpenAlexW4385640437MaRDI QIDQ2106277

Chu, Wenchang, Xiao Yuan Wang

Publication date: 14 December 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-5/Series-with-harmonic-like-numbers-and-squared-binomial-coefficients/10.1216/rmj.2022.52.1849.full

zbMATH Keywords

hypergeometric seriesharmonic numberscentral binomial coefficientRamanujan-like seriesGauss summation theoremthe \(\Gamma\)-function

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Generalized hypergeometric series, ({}_pF_q) (33C20) Numerical summation of series (65B10) Elliptic integrals as hypergeometric functions (33C75)

Related Items (7)

Applications of Zeilberger’s Algorithm to Ramanujan-Inspired Series Involving Harmonic-Type Numbers ⋮ A Wilf–Zeilberger–Based Solution to the Basel Problem With Applications ⋮ Series acceleration formulas obtained from experimentally discovered hypergeometric recursions ⋮ Infinite series around multinomial coefficients and harmonic numbers ⋮ On a problem involving the squares of odd harmonic numbers ⋮ Infinite series about harmonic numbers inspired by Ramanujan-like formulae ⋮ Applications of a hypergeometric identity and Ramanujan-like series

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