Generalized hypergeometric function identities at argument±1

DOI10.1080/10652469.2014.939078zbMath1375.33006OpenAlexW2080918621MaRDI QIDQ2929829

Anthony Sofo

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1080/10652469.2014.939078

zbMATH Keywords

hypergeometric functionssummation formulasdilogarithm functionbinomial coefficientsharmonic numberscombinatorial series identitiespartial fraction approach

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Special sequences and polynomials (11B83) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (3)

A master integral in four parameters ⋮ Identities for alternating inverse squared binomial and harmonic number sums ⋮ Quadratic alternating harmonic number sums

Cites Work

• The uniformization of certain algebraic hypergeometric functions
• The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
• An extension of Saalschütz's summation theorem for the series_r+3F_r+2
• NEW RESULTS FOR THE SERIES₂F₂(x) WITH AN APPLICATION
• DECOMPOSITION FORMULAE FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE GAUSS-KUMMER IDENTITY
• Values of the polygamma functions at rational arguments

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