Painlevé IV, σ-form, and the deformed Hermite unitary ensembles

DOI10.1063/5.0035471zbMath1461.42019arXiv2103.04229OpenAlexW3139467794MaRDI QIDQ5859146

Dan Wang, Yang Chen, Mengkun Zhu

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04229

zbMATH Keywords

deformed Hermite weightladder operators for monic orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52)

Related Items (4)

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities

Uses Software

• DLMF

Cites Work

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