On some formulas for the Horn functions G2 (a, a′, b, b′; w, z), G3 (a, a′; w, z) and Γ1 (a, b, b′; w, z)

DOI10.1080/10652469.2020.1760862zbMath1466.33010OpenAlexW3025472900MaRDI QIDQ4987034

Yu. A. Brychkov, N. V. Savischenko

Publication date: 28 April 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1760862

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l} ⋮ On some formulas for the Horn functions H₃ (a, b; c; w, z), (a; c; w, z) and Humbert function Φ₃(b; c; w, z) ⋮ On some formulas for the Horn functions H₄(a, b; c, c′;w, z) and H₇^(c) (a; c, c′;w, z)

Cites Work

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• Decomposition formulas for the double hypergeometric functions \(G_{1}\) and \(G_{2}\)
• On the sum of Appell function \(F_2\)
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• 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)
• On some formulas for the Appell function F4(a,b;c,c′;w,z)
• Hypergeometrische Funktionen zweier Veränderlichen

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