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)

DOI10.1080/10652469.2022.2117807OpenAlexW4295233192WikidataQ114099286 ScholiaQ114099286MaRDI QIDQ6102402

N. V. Savischenko, Yu. A. Brychkov

Publication date: 8 May 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2117807

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

On some formulas for the confluent Horn functions H ₁₀ ^{( c )} ( a; c; w, z ) and H ₁₁ ^{( c )} ( a, c, c′; d; w, z )

Cites Work

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• 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 G₁ (a, b, b′;w, z) and Γ₂ (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)
• On some formulas for the Horn function H₇(a, b, b′; c; w, z)
• On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃

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