Infinite summation formulas of double hypergeometric functions

DOI10.1080/10652469.2015.1128432zbMath1350.33008OpenAlexW2319517659MaRDI QIDQ2812114

Xiaoxia Wang

Publication date: 16 June 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1128432

zbMATH Keywords

double hypergeometric functionsAppell's functionsHorn's functioninfinite summation formulas

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Finite summation formulas of double hypergeometric functions ⋮ Finite summation formulas of Srivastava’s general triple hypergeometric function ⋮ Generating functions of Pollaczek polynomials: a revisit

Cites Work

• Unnamed Item
• Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems
• A generalization of Kummer's identity.
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Recursion formulas for Appell functions
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z)
• Series identities and reducibility of Kampé de Fériet functions
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Hypergeometrische Funktionen zweier Veränderlichen

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