Terminating balanced $_4\phi _3$-series with two integer parameters

DOI10.1090/proc/13592zbMath1387.33023OpenAlexW2598905018MaRDI QIDQ5351797

Nadia N. Li, Chu, Wenchang

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13592

zbMATH Keywords

linearization methodbasic hypergeometric series\(q\)-Pfaff-Saalschütz theoremWatson's transformationbalanced series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (7)

Terminating \(q\)-Whipple summation theorem with two integer parameters ⋮ Unnamed Item ⋮ New identities for terminating balanced \(_4\phi_3\)-series ⋮ TERMINATING ALMOST POISED <i>q</i>-DIXON SUMS ⋮ Nonterminating ₃F₂-series with a free variable ⋮ Unnamed Item ⋮ Terminating balanced \({}_4\phi_3\)-series and very well-poised \({}_8\phi_7\)-series

Cites Work

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• Elementary proofs for convolution identities of Abel and Hagen-Rothe
• Pfaff's method. II: Diverse applications
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Some Generalizations of Vandermonde's Convolution
• Transformation and reduction formulae for doubleq-Clausen hypergeometric series
• Terminating₄F₃-series extended with two integer parameters

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