Results 91 to 100 of about 5,641,194 (164)

Children\u27s Drawings and the Riemann-Hilbert Problem [PDF]

open access: yes
Dessin d\u27enfants (French for children\u27s drawings) serve as a unique standpoint of studying classical complex analysis under the lens of combinatorial constructs.
Chowdhury, Drimik Roy
core   +1 more source

Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line

open access: yesAxioms
In this article, the coupled Kundu equations are analyzed using the Fokas unified method on the half-line. We resolve a Riemann–Hilbert (RH) problem in order to illustrate the representation of the potential function in the coupled Kundu equations.
Jiawei Hu, Ning Zhang
doaj   +1 more source

A Hilbert boundary value problem for generalised Cauchy-Riemann equations

open access: yes, 2016
We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations.
Tarkhanov, Nikolai Nikolaevich   +1 more
core  

Exact solutions for a class of matrix Riemann-Hilbert problems

open access: yes, 2011
Consider the matrix Riemann-Hilbert problem. In contrast to scalar Riemann-Hilbert problems, a general matrix Riemann-Hilbert problem cannot be solved in term of Sokhotskyi-Plemelj integrals.
Kucerovsky, .   +1 more
core  

From Quantum Curves to Topological String Partition Functions. [PDF]

open access: yesCommun Math Phys, 2023
Coman I, Pomoni E, Teschner J.
europepmc   +1 more source

Some addition to the generalized Riemann-Hilbert problem

open access: yes, 2009
. -We consider the generalized Riemann-Hilbert problem for linear differential equations with irregular singularities. If one weakens the conditions by allowing one of the Poincaré ranks to be non-minimal, the problem is known to have a solution. In this
) R R Gontsov, I V Vyugin
core  

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