On some formulas for the Appell functionF3(a,a′,b,b′;c;w,z)

DOI10.1080/10652469.2015.1068305zbMath1331.33030OpenAlexW2126591354MaRDI QIDQ3448969

Yu. A. Brychkov, Nasser Saad

Publication date: 3 November 2015

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1068305

zbMATH Keywords

integralsrecurrence relationsspecial functionsdifferentiationAppell functionsseriesmultiple hypergeometric functionsHumbert functions

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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Cites Work

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• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering
• Less simple contiguous function relations for hypergeometric functions
• Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams