A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials

DOI10.1142/S2010326318400026zbMath1416.33026arXiv1805.00818MaRDI QIDQ5226434

Hsiao-Fan Liu, Chuan-Tsung Chan

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1805.00818

zbMATH Keywords

orthogonal polynomialsmatrix modelLaguerre polynomialHermite polynomialToda equation

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations in the complex domain (39A45)

Related Items (1)

Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis

Cites Work

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• Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight
• Ladder operators for \(q\)-orthogonal polynomials
• Three integrable Hamiltonian systems connected with isospectral deformations
• Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials
• Specializations of Generalized Laguerre Polynomials
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations
• On the Recurrence Coefficients for Generalized q-Laguerre Polynomials
• Integrals of nonlinear equations of evolution and solitary waves

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