Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case
type: Item
instance of: scholarly article
title: Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case
zbMATH Open document ID: 1377.33010
DOI: 10.1134/S0965542517040042
author: S. I. Bezrodnykh
published in: Computational Mathematics and Mathematical Physics
publication date: 2017-12-06T00:00:00Z
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 6815863
zbMATH Keywords: hypergeometric functions two variables
zbMATH Keywords: system of partial differential equations
zbMATH Keywords: Barnes-type integrals
zbMATH Keywords: analytic continuation
describes a project that uses: SCPACK
MaRDI profile type: Publication
cites work: Q5562582
cites work: Generalized hypergeometric functions with applications in statistics and physical sciences
cites work: Q4103811
cites work: Q4145991
cites work: Q4490853
cites work: Hypergeometric functions of two variables
cites work: Q5546991
cites work: Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
cites work: Q5520117
cites work: Q5508372
cites work: Monodromy of hypergeometric functions and non-lattice integral monodromy
cites work: Q4164336
cites work: Q4278581
cites work: Q3999153
cites work: Q3999049
cites work: Theory of Hypergeometric Functions
cites work: Singularities of hypergeometric functions in several variables
cites work: Q5820721
cites work: Analytic continuation formulas and Jacobi-type relations for Lauricella function
cites work: Q3957222
cites work: On the analytic continuation of the Lauricella function \(F_D^{(N)}\)
cites work: Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method
cites work: Numerical Computation of the Schwarz–Christoffel Transformation
cites work: The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
cites work: Schwarz-Christoffel Mapping
cites work: Conformal mapping of rectangular heptagons
cites work: Singular Riemann-Hilbert problem in complex-shaped domains
full work available at URL: s0965542517040042
OpenAlex ID: W2615988577
description: scientific article; zbMATH DE number 6815863