Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight

DOI10.1016/j.indag.2014.10.004zbMath1310.39005arXiv1404.3089OpenAlexW2056758726MaRDI QIDQ475595

James Griffin, Yang Chen

Publication date: 27 November 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3089

zbMATH Keywords

orthogonal polynomialsdiscrete Painlevé equationsnon-linear difference equations

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (3)

A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials

Cites Work

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• Structure relations forq-polynomials and some applications
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• New family of unitary random matrices
• q-Discrete Painlevé equations for recurrence coefficients of modifiedq-Freud orthogonal polynomials
• On the Recurrence Coefficients for Generalized q-Laguerre Polynomials
• Painlevé V and time-dependent Jacobi polynomials

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