Analytic continuation of Lauricella's function FD(N) for large in modulo variables near hyperplanes {zj = zl}

DOI10.1080/10652469.2021.1929206OpenAlexW3163745011MaRDI QIDQ5063382

S. I. Bezrodnykh

Publication date: 21 March 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2021.1929206

zbMATH Keywords

analytic continuationLauricella functionsmultiple hypergeometric functionsHorn functionsPDEs 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 ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l} ⋮ Formulas for computing the Lauricella function in the case of crowding of variables ⋮ Lauricella function and the conformal mapping of polygons

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