Multiplicate inverse forms of terminating hypergeometric series

DOI10.1080/10652469.2014.905933zbMath1303.33007arXiv1311.4502OpenAlexW2077340779MaRDI QIDQ5168451

Christian Lavault

Publication date: 4 July 2014

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

Full work available at URL: https://arxiv.org/abs/1311.4502

zbMATH Keywords

generalized hypergeometric seriesGould-Hsu inverse series relationsmultiplicate inversionsChu-Vandermonde-Gauß's summation formulaHagen-Rothe's convolution identityPfaff-Saalschütz's summation theorem

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

A general \(q\)-inverse series relation

Cites Work

• Inversion techniques and combinatorial identities: Balanced hypergeometric series.
• Sone new inverse series relations
• Legendre inversions and balanced hypergeometric series identities
• Further₃F₂series via Gould–Hsu inversions
• Some Generalizations of Vandermonde's Convolution

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