Hypergeometric approach to Apéry-like series

DOI10.1080/10652469.2017.1315416zbMath1400.11124OpenAlexW2606879603MaRDI QIDQ4978620

Chu, Wenchang

Publication date: 25 August 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1315416

zbMATH Keywords

gamma functionRiemann zeta functionhypergeometric seriesbinomial coefficientBell polynomialharmonic number

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (12)

Unnamed Item ⋮ Infinite series involving harmonic numbers of convergence rate 1/2 ⋮ Infinite series around multinomial coefficients and harmonic numbers ⋮ INFINITE SERIES CONCERNING HARMONIC NUMBERS AND QUINTIC CENTRAL BINOMIAL COEFFICIENTS ⋮ Infinite series about harmonic numbers inspired by Ramanujan-like formulae ⋮ Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series ⋮ Harmonic sums from the Kummer theorem ⋮ Further Apéry-like series for Riemann zeta function ⋮ A bivariate generating function for zeta values and related supercongruences ⋮ Explicit formulas of sums involving harmonic numbers and Stirling numbers ⋮ Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients ⋮ Series with harmonic-like numbers and squared binomial coefficients

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