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

DOI10.1080/10652469.2022.2056600OpenAlexW4225596865WikidataQ113850276 ScholiaQ113850276MaRDI QIDQ5039349

N. V. Savischenko, Yu. A. Brychkov

Publication date: 12 October 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2056600

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Special functions (33-XX) Integral transforms, operational calculus (44-XX)

Related Items

Constructing basises in solution space of the system of equations for the Lauricella Function F _D ^(N), Formulas for computing the Lauricella function in the case of crowding of variables, 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), Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons, 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

• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)
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