Terminating4F3-series extended with two integer parameters

DOI10.1080/10652469.2016.1203311zbMath1352.05028OpenAlexW2470195860MaRDI QIDQ5506799

Chu, Wenchang

Publication date: 16 December 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2016.1203311

zbMATH Keywords

Pfaff-Saalschütz theoremterminating hypergeometric seriesChu-Vandermonde formulaWhipple's transformationHagen-Rothe convolution identity

Mathematics Subject Classification ID

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

Related Items (13)

Terminating \(q\)-Whipple summation theorem with two integer parameters ⋮ Unnamed Item ⋮ Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters ⋮ Terminating balanced $_4\phi _3$-series with two integer parameters ⋮ TERMINATING ALMOST POISED <i>q</i>-DIXON SUMS ⋮ Transformation formulae for terminating balanced $_4F_3$-series and implications ⋮ Nonterminating ₃F₂-series with a free variable ⋮ Non-terminating₃F₂-series with unit argument ⋮ Unnamed Item ⋮ Terminating ₃F₂(4)-series extended with three integer parameters ⋮ 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

Cites Work

• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Some Generalizations of Vandermonde's Convolution

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