scientific article; zbMATH DE number 7523395

DOI10.4134/CKMS.c210090MaRDI QIDQ5074297

Arjun K. Rathie, Medhat A. Rakha

Publication date: 9 May 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

reductiongeneralized hypergeometric functionKampé de Fériet functionsummation and transformation formulas

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

Hahn multiple orthogonal polynomials of type I: hypergeometric expressions

Cites Work

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• Some multiple hypergeometric transformations and associated reduction formulas
• Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan's summations
• A reduction formula for the Kampé de Fériet function
• Specialization of Appell's functions to univariate hypergeometric functions
• Transformation of Kampé de Fériet function
• On the reducibility of the Kampé de Fériet function
• Automatic generation of hypergeometric identities by the beta integral method.
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Transformation and summation formulae for Kampé de Fériet series
• Series identities and associated families of generating functions
• CERTAIN HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY USING THE BETA INTEGRAL METHOD
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION
• On a reducibility of the Kampé de Fériet function
• ON CERTAIN REDUCIBILITY OF KAMPE DE FERIET FUNCTION
• Series identities and reducibility of Kampé de Fériet functions
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Sum of a Double Series
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
• Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• Expansions of Kampé de Feriet's Double Hypergeometric Function of Higher Order.
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS

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