A degenerate Gaussian weight connected with Painlevé equations and Heun equations

DOI10.1142/s2010326321500349OpenAlexW3091247051MaRDI QIDQ6063719

Pengju Han, Yang Chen

Publication date: 8 November 2023

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s2010326321500349

zbMATH Keywords

asymptotic behaviororthogonal polynomialsPainlevé equationHeun equationladder-operators approach

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Other special orthogonal polynomials and functions (33C47) Painlevé-type functions (33E17)

Related Items (2)

Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants ⋮ Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation

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