Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables

DOI10.1080/10652469.2020.1744590zbMath1466.33007OpenAlexW3013590736MaRDI QIDQ4987027

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/10.1080/10652469.2020.1744590

zbMATH Keywords

Mellin-Barnes integralsmultivariate hypergeometric functionssystems of PDEsHorn seriesanalytic continuation formulas

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90) Appell, Horn and Lauricella functions (33C65) Analytic continuation of functions of one complex variable (30B40)

Related Items (11)

Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ 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 ⋮ Hypergeometric functions at unit argument: simple derivation of old and new identities ⋮ 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 ⋮ Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons ⋮ \(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus ⋮ Horn's hypergeometric functions with three variables ⋮ Analytic continuation of Lauricella's functions , and ⋮ Hypergeometric Functions and Feynman Diagrams

Cites Work

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• Hypergeometrische Funktionen zweier Veränderlichen

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