Bivariate classical and \(q\)-series transformations

DOI10.4171/PM/1809zbMath1154.33006OpenAlexW1977245521MaRDI QIDQ931850

Cangzhi Jia, Chu, Wenchang

Publication date: 2 July 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=65&iss=2&rank=6

zbMATH Keywords

\(q\)-seriesAppel functionKampe de Feriet functionsl basic hypergeometric functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic hypergeometric integrals and functions defined by them (33D60) Appell, Horn and Lauricella functions (33C65) Other basic hypergeometric functions and integrals in several variables (33D70)

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

• Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
• Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs
• Some Integrals of the products of laguerre polynomials
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