Dixon's \(_3F_2(1)\)-series and identities involving harmonic numbers and the Riemann zeta function

DOI10.1016/j.disc.2009.07.029zbMath1250.33007OpenAlexW2082975269MaRDI QIDQ1045146

Xiaojing Chen, Chu, Wenchang

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.07.029

zbMATH Keywords

Bell polynomialharmonic numberDixon's summation theorem

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (zeta (s)) and (L(s, chi)) (11M06) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Harmonic number identities via hypergeometric series and Bell polynomials, Unnamed Item, Infinite series involving harmonic numbers of convergence rate 1/2, Euler sums and Stirling sums, INFINITE SERIES CONCERNING HARMONIC NUMBERS AND QUINTIC CENTRAL BINOMIAL COEFFICIENTS, Infinite series about harmonic numbers inspired by Ramanujan-like formulae, Summation formulas involving generalized harmonic numbers, A new class of identities involving Cauchy numbers, harmonic numbers and zeta values, Infinite series of convergence rate $-1/8$ suggested by two formulae of Guillera, Unnamed Item, Gauss's theorem and harmonic number summation formulae with certain mathematical constants, Supercongruences related to 3F2(1) involving harmonic numbers, Harmonic number identities via the Newton-Andrews method, Identities for the harmonic numbers and binomial coefficients, Watson-type₃F₂-series and summation formulae involving generalized harmonic numbers, Further Apéry-like series for Riemann zeta function, Alternating series of Apéry-type for the Riemann zeta function., Infinite Summation Formulas Involving Riemann-Zeta function, Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients, Series with harmonic-like numbers and squared binomial coefficients

Uses Software

• SIGMA

Cites Work

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