On some formulas for the Horn functions H4(a, b; c, c′;w, z) and H7(c) (a; c, c′;w, z)

DOI10.1080/10652469.2021.1878356zbMath1498.33012OpenAlexW4206952344MaRDI QIDQ5019210

Yu. A. Brychkov, N. V. Savischenko

Publication date: 3 January 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2021.1878356

zbMATH Keywords

hypergeometric functionsspecial functionsAppell functionsHumbert functionsHorn functions

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (2)

Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$ ⋮ Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables

Cites Work

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• 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 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 Appell functionF₃(a,a′,b,b′;c;w,z)
• 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 Appell function F4(a,b;c,c′;w,z)
• On some formulas for the Horn functions G₁ (a, b, b′;w, z) and Γ₂ (b, b′;w, z)
• 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)
• On some formulas for the Horn functions H₁(a,b,c;d;w,z) and H₁^(c)(a,b;d;w,z)

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