Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues

DOI10.1063/5.0062949OpenAlexW4283219016MaRDI QIDQ5883550

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Publication date: 21 March 2023

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

Full work available at URL: https://doi.org/10.1063/5.0062949

Mathematics Subject Classification ID

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) Other special orthogonal polynomials and functions (33C47) Toeplitz, Cauchy, and related matrices (15B05) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble

Uses Software

• DLMF

Cites Work

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