Analytic continuation of Lauricella's functions , and

DOI10.1080/10652469.2020.1762081zbMath1466.33008OpenAlexW3024707726MaRDI QIDQ4987036

S. I. Bezrodnykh

Publication date: 28 April 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1762081

zbMATH Keywords

Horn's hypergeometric seriesanalytic continuation formulas\(F_B^{(N)}\)\(F_D^{(N)}\)Lauricella's functions \(F_A^{(N)}\)PDEs system of equations

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Applications of hypergeometric functions (33C90) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ \(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus ⋮ Unnamed Item ⋮ Analytical solution for the cavitating flow over a wedge. II ⋮ Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\)

Cites Work

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• On some formulas for the Appell function F4(a,b;c,c′;w,z)
• Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables
• Analytic continuation of the Lauricella function with arbitrary number of variables
• The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables

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