Differential equations for deformed Laguerre polynomials

DOI10.1016/j.jat.2009.07.010zbMath1200.34112arXiv0902.4064OpenAlexW2093004173MaRDI QIDQ968967

Peter J. Forrester, Christopher Michael Ormerod

Publication date: 11 May 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4064

zbMATH Keywords

orthogonal polynomialsPainlevé equationsladder operatorsisomonodromy

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (11)

Deformed Laguerre-Hahn orthogonal polynomials on the real line ⋮ PDEs SATISFIED BY EXTREME EIGENVALUES DISTRIBUTIONS OF GUE AND LUE ⋮ Differential equations for families of semi-classical orthogonal polynomials within class one ⋮ Single-user MIMO system, Painlevé transcendents, and double scaling ⋮ The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation ⋮ A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix ⋮ Random matrix models, double-time Painlevé equations, and wireless relaying ⋮ Integrable structure of products of finite complex Ginibre random matrices ⋮ On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ Asymptotics of determinants of Hankel matrices via non-linear difference equations

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