Reduction and transformation formulae for bivariate basic hypergeometric series

DOI10.1016/J.JMAA.2006.06.002zbMath1105.33015OpenAlexW2060723585MaRDI QIDQ864630

Cangzhi Jia, Tian-ming Wang

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.002

zbMATH Keywords

basic hypergeometric series\(q\)-series identitiestransformation formulae\(q\)-Kampé de Fériet functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Applications of basic hypergeometric functions (33D90)

Related Items (2)

New transformation and reduction formulae for double \(q\)-Clausen series ⋮ Reduction and summation formulae for semi-terminating \(q\)-Kampé de Fériet series

Cites Work

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• Some multiple hypergeometric transformations and associated reduction formulas
• Transformations of multiple \(q\)-series with quasi-arbitrary terms
• Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
• Series identities and associated families of generating functions
• q-Series Identities and Reducibility of Basic Double Hypergeometric Functions
• Series identities and reducibility of Kampé de Fériet functions

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