Constructing basises in solution space of the system of equations for the Lauricella Function F D (N)

DOI10.1080/10652469.2023.2212396zbMath1527.33012OpenAlexW4376866864MaRDI QIDQ6061001

S. I. Bezrodnykh

Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2023.2212396

zbMATH Keywords

monodromyanalytic continuationhypergeometric systems of partial differential equationsLauricella and Horn functions

Mathematics Subject Classification ID

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

Cites Work

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• Analytical solution for the cavitating flow over a wedge. II
• Asymptotics of the Riemann-Hilbert problem for the Somov model of magnetic reconnection of long shock waves
• Lauricella function and the conformal mapping of polygons
• Linear Pfaffian systems and classical solutions of triangular Schlesinger equations
• Using functional equations to calculate Feynman integrals
• Application of hypergeometric functions of two variables in wireless communication theory
• Hypergeometric functions of two variables
• Maximally reducible monodromy of bivariate hypergeometric systems
• Theory of Hypergeometric Functions
• General hypergeometric systems of equations and series of hypergeometric type
• Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables
• Anti-Differentiation and the Calculation of Feynman Amplitudes
• On some formulas for the Horn function H₇(a, b, b′; c; w, z)
• On some formulas for the Horn functions H₅ (a, b; c;w, z) and (a; c;w, z)
• On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)
• 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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