Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants

DOI10.1002/mma.9377arXiv2208.05883MaRDI QIDQ6143211

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Publication date: 23 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05883

zbMATH Keywords

asymptotic expansionsHankel determinantsrecurrence coefficientsPainlevé IVsemi-classical Laguerre polynomialsChazy II system

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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Painlevé-type functions (33E17)

Related Items (3)

Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Semi-classical orthogonal polynomials associated with a modified Gaussian weight ⋮ Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: From finite n to large n asymptotics

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