Transformation and reduction formulae for double \(q\)-Clausen series of type \(\Phi_{1:1;\mu}^{1:2;\lambda}\)

DOI10.1016/J.JMAA.2006.05.046zbMath1107.33019OpenAlexW2203167851MaRDI QIDQ864717

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.2006.05.046

zbMATH Keywords

basic hypergeometric seriesdouble \(q\)-Clausen seriesSears transformations

Mathematics Subject Classification ID

Other basic hypergeometric functions and integrals in several variables (33D70) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

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 and reduction formulae for doubleq-Clausen hypergeometric series
• Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Transformation and reduction formulae for double \(q\)-Clausen series of type \(\Phi_{1:1;\mu}^{1:2;\lambda}\)