Some multiple hypergeometric transformations and associated reduction formulas

DOI10.1016/j.jmaa.2004.02.008zbMath1107.33005OpenAlexW1965952121MaRDI QIDQ596773

Kung-Yu Chen, Whei-Ching C. Chan, Hari M. Srivastava, Chuan Jen Chyan

Publication date: 10 August 2004

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.2004.02.008

zbMATH Keywords

Jacobi polynomialsGenerating functionsAppell functionsLauricella functionsKampé de Fériet functionHypergeometric transformationsPfaff--Kummer transformationReduction formulasSeries identities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (3)

Reduction and transformation formulae for bivariate basic hypergeometric series ⋮ Transformation and summation formulae for Kampé de Fériet series ⋮ Unnamed Item

Cites Work

• Reduction and summation formulae for certain classes of generalised multiple hypergeometric series arising in physical and quantum chemical applications
• Series identities and reducibility of Kampé de Fériet functions
• Algebraic Evaluations of Some Euler Integrals, Duplication Formulae for Appell's Hypergeometric Function F₁, and Brownian Variations
• On the Reducibility of Appell's Function F₄
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