Terminating \(q\)-Whipple summation theorem with two integer parameters

DOI10.1007/S11139-019-00208-2zbMath1467.33015OpenAlexW3006410194MaRDI QIDQ829866

Wenlong Zhang, Ji Shi

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00208-2

zbMATH Keywords

linearization methodbasic hypergeometric series\(q\)-analogue of Bailey's summation theoremterminating \(q\)-Whipple summation theorem

Mathematics Subject Classification ID

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

Cites Work

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• M. Jackson's bilateral \(_{3} H _{3}\)-series and extension with integer parameters
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• 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
• Some Transformations of Basic Hypergeometric Functions. Part II
• Closed formulae for a class of terminating 3F2(4)-series
• Terminating balanced $_4\phi _3$-series with two integer parameters
• Terminating₄F₃-series extended with two integer parameters
• ON THE SUM OF A TERMINATING ₂F₂(1)

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