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)

DOI10.1080/10652469.2020.1835893zbMath1496.33011OpenAlexW3093515405MaRDI QIDQ3383781

Yu. A. Brychkov, N. V. Savischenko

Publication date: 16 December 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1835893

zbMATH Keywords

integralshypergeometric functionsspecial functionsdifferentiationAppell functionsseriesHumbert functionsHorn functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l} ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ The distribution function of the maximum of \(n\) random variables and its application in communication theory ⋮ Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$ ⋮ On some formulas for the Horn functions H₄(a, b; c, c′;w, z) and H₇^(c) (a; c, c′;w, z)

Cites Work

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• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
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• On some formulas for the Appell functionF₃(a,a′,b,b′;c;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)
• DIFFERENTIAL EQUATIONS ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS
• Hypergeometrische Funktionen zweier Veränderlichen

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