Distributions of poles to Painlevé transcendents via Padé approximations
type: Item
instance of: scholarly article
title: Distributions of poles to Painlevé transcendents via Padé approximations
zbMATH Open document ID: 1304.30042
published in: Constructive Approximation
publication date: 2015-01-09T00:00:00Z
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 33E17
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 6385010
zbMATH Keywords: Painlevé equations
zbMATH Keywords: meromorphic solutions
zbMATH Keywords: distribution of poles
zbMATH Keywords: Padé approximation
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: Coulomb gas
author: V. Yu. Novokshenov
describes a project that uses: RHPackage
MaRDI profile type: Publication
full work available at URL: s00365-013-9190-6
OpenAlex ID: W2094687579
cites work: Asymptotic Solutions of the Korteweg-deVries Equation
cites work: On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation
cites work: On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation
cites work: Rational Approximations to the Solution of the Second Order Riccati Equation
cites work: Q5394330
cites work: A numerical methodology for the Painlevé equations
cites work: Q3574974
cites work: Painlevé differential equations in the complex plane
cites work: Q4826741
cites work: A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
cites work: On Boutroux's Tritronquée Solutions of the First Painlevé Equation
cites work: Connection formulae for the first Painlevé transcendent in the complex domain
cites work: Padé approximations for Painlevé I and II transcendents
cites work: Q5751154
cites work: The convergence of Padé approximants of meromorphic functions
cites work: Logarithmic Potential Theory with Applications to Approximation Theory
cites work: Level-spacing distributions and the Airy kernel
DOI: 10.1007/S00365-013-9190-6
description: scientific article; zbMATH DE number 6385010