On some formulas for the Horn functions G1 (a, b, b′;w, z) and Γ2 (b, b′;w, z)

DOI10.1080/10652469.2020.1746051zbMath1466.33009OpenAlexW3015551592MaRDI QIDQ4987028

N. V. Savischenko, Yu. A. Brychkov

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/10.1080/10652469.2020.1746051

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 (7)

Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l} ⋮ On some formulas for the Horn functions H₅ (a, b; c;w, z) and (a; c;w, z) ⋮ On some formulas for the confluent Horn functions H₃^(c) (a, b, c; d; w, z), H₄^(c) (a, c; d; w, z) and H₉^(c) (a, b; c; w, z) ⋮ Horn's hypergeometric functions with three variables ⋮ On some formulas for the Horn function H₂ (a, ,b, ,c, ,c′; d; w, z) and confluent Horn function (a, b, c; d; w, z) ⋮ 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 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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