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

DOI10.1080/10652469.2021.2017427OpenAlexW4205403328WikidataQ113850277 ScholiaQ113850277MaRDI QIDQ5094509

Yu. A. Brychkov, N. V. Savischenko

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2021.2017427

zbMATH Keywords

hypergeometric functionsAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

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

Related Items (7)

On some formulas for the Horn function H₇(a, b, b′; c; w, z) ⋮ Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ 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) ⋮ Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons

Cites Work

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• On some formulas for the Appell functionF₂(a, b, b′;c, c′;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 new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃

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