Terminating 3F2(4)-series extended with three integer parameters

DOI10.1080/10236198.2018.1485668zbMath1401.33008OpenAlexW2809463844MaRDI QIDQ4685502

Chu, Wenchang, Xiaojing Chen

Publication date: 9 October 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2018.1485668

zbMATH Keywords

hypergeometric seriesfinite differenceslinearization methodtelescoping methodPfaff-Saalschütz theoremChu-Vandermonde formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (11)

Relations for a class of terminating ₄F₃(4) hypergeometric series ⋮ Unnamed Item ⋮ Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ \( \pi \)-formulas from dual series of the Dougall theorem ⋮ Divided differences and terminating well-poised hypergeometric series ⋮ Nonterminating ₃F₂-series with a free variable ⋮ Nonterminating well–poised hypergeometric series ⋮ Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations ⋮ Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series ⋮ Terminating balanced \({}_4\phi_3\)-series and very well-poised \({}_8\phi_7\)-series ⋮ Some mysterious-looking \(_2F_1\)-series through the telescoping method

Cites Work

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• Inversion techniques and combinatorial identities. A unified treatment for the \(_ 7F_ 6\)-series identities
• Finding identities with the WZ method
• Some double-series identities and associated generating-function relationships
• Terminating hypergeometric₂F₁(2)–series
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Terminating ₂𝐹₁(4)-series perturbed by two integer parameters
• Strange Evaluations of Hypergeometric Series
• Closed formulae for a class of terminating 3F2(4)-series
• Terminating₄F₃-series extended with two integer parameters

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