Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions

DOI10.1016/S0377-0427(02)00921-4zbMath1023.33004MaRDI QIDQ1398710

Hari M. Srivastava, Chu, Wenchang

Publication date: 7 August 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesAppell and Kampé de Fériet functionstransformation and reduction formulas

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (9)

Reduction and transformation formulae for bivariate basic hypergeometric series ⋮ Transformation and reduction formulae for double \(q\)-Clausen series of type \(\Phi_{1:1;\mu}^{1:2;\lambda}\) ⋮ Further double sums of Dunkl and Gasper ⋮ Unnamed Item ⋮ New transformation and reduction formulae for double \(q\)-Clausen series ⋮ Reduction and summation formulae for semi-terminating \(q\)-Kampé de Fériet series ⋮ Bivariate classical and \(q\)-series transformations ⋮ Transformation and summation formulae for Kampé de Fériet series ⋮ TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ^2:1;λ_2:0;μ

Cites Work

• Some formulae for double Clausenian functions
• Basic almost-poised hypergeometric series
• Some Integrals of the products of laguerre polynomials
• Summations and Transformations for Basic Appell Series
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