Results 11 to 20 of about 17,890 (258)
A Riemann–Hilbert problem for biorthogonal polynomials
Journal of Computational and Applied Mathematics, 2005 We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.
A B J Kuijlaars
exaly +4 more sources
On the generalized Riemann-Hilbert problem with irregular singularities
Expositiones Mathematicae, 2004 We give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincare ranks at prescribed singularities, to solve the generalized Riemann-Hilbert problem with irregular singularities. We recover in particular the irreducibility condition on the monodromy given by Bolibrukh and Kostov in the classical case ...
A. A. Bolibruch +2 more
core +4 more sources
Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations
Lietuvos Matematikos Rinkinys, 2023 Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
doaj +4 more sources
The Riemann–Hilbert problem for nonsymmetric systems [PDF]
Journal of Mathematical Physics, 1991 A comparison of the Riemann–Hilbert problem and the Wiener–Hopf factorization problem arising in the solution of half-space singular integral equations is presented. Emphasis is on the factorization of functions lacking the reflection symmetry usual in transport theory.
William Greenberg +2 more
openalex +5 more sources
The Tacnode Riemann–Hilbert Problem [PDF]
Constructive Approximation, 2013 29 pages, 5 ...
Kuijlaars, Arno
openaire +4 more sources
Solving the coupled Gerdjikov–Ivanov equation via Riemann–Hilbert approach on the half line [PDF]
Scientific ReportsIn this research, the Fokas method is adopted to examine the coupled Gerdjikov–Ivanov equation within the half line interval $$(-\infty ,0]$$ . Meanwhile, the Riemann–Hilbert technique is engaged to work out the potential function associated with the ...
Jiawei Hu, Huanhe Dong, Ning Zhang
doaj +2 more sources
The Riemann–Hilbert Problem for Holonomic Systems
Publications of the Research Institute for Mathematical Sciences, 1984 Let X be a paracompact complex manifold of dimension n, \(X_{{\mathbb{R}}}\) the underlying real analytic manifold and \(\bar X\) the complex conjugate of X. Let \({\mathcal D}_ X\) and \({\mathcal O}_ X\) be the sheaf of differential operators and holomorphic functions. The ring \({\mathcal A}_{X_{{\mathbb{R}}}}\) and \({\mathcal D}_{X_{{\mathbb{R}}}}\
Masaki Kashiwara
openalex +4 more sources
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Symmetry, Integrability and Geometry: Methods and Applications, 2007 A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Alexander Sakhnovich
doaj +2 more sources
Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV [PDF]
Mathematics, 2022 In this paper, the Riemann–Hilbert problem, with a jump supported on an appropriate curve on the complex plane with a finite endpoint at the origin, is used for the study of the corresponding matrix biorthogonal polynomials associated with Laguerre type ...
Amílcar Branquinho +3 more
doaj +2 more sources
SOLVABILITY HOMOGENEOUS RIEMANN-HILBERT BOUNDARY VALUE PROBLEM WITH SEVERAL POINTS OF TURBULENCE
Проблемы анализа, 2018 We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be H¨older-continuous everywhere on the unit circle excluding a finite set of points.
Fatykhov A . Kh ., Shabalin P . L .
doaj +2 more sources