On some formulas for the Horn functions H1(a,b,c;d;w,z) and H1(c)(a,b;d;w,z)

DOI10.1080/10652469.2020.1790554zbMath1467.33007OpenAlexW3043031572MaRDI QIDQ4987896

Yu. A. Brychkov, N. V. Savischenko

Publication date: 11 May 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1790554

zbMATH Keywords

derivativesintegral representationsreduction formulaeHorn functionsconfluence formulae

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (6)

Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l} ⋮ Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l} ⋮ On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z) ⋮ 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) ⋮ \texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms ⋮ 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
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• 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)
• Hypergeometrische Funktionen zweier Veränderlichen

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