TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ

DOI10.1017/S0017089509990322zbMath1181.33015MaRDI QIDQ3655781

Cangzhi Jia, Xiang-De Zhang

Publication date: 12 January 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

double basic hypergeometric seriesSears transformation formulae

Mathematics Subject Classification ID

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

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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• Transformation and summation formulas for double hypergeometric series
• Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
• Some formulae for double Clausenian functions
• Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
• Transformation and reduction formulae for doubleq-Clausen hypergeometric series
• Multiple hypergeometric functions and 9-j coefficients
• Two hypergeometric summation formulae related to 9-j coefficients
• Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group

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