On some formulas for the confluent Horn functions H 10 ( c ) ( a; c; w, z ) and

DOI10.1080/10652469.2023.2238241OpenAlexW4385625157MaRDI QIDQ6066225

Yu. A. Brychkov, N. V. Savischenko

Publication date: 15 November 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2023.2238241

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Cites Work

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• 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 Horn function H₇(a, b, b′; c; w, z)
• On some formulas for the Horn functions H₅ (a, b; c;w, z) and (a; c;w, z)
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃
• 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)

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