Deformed Laguerre-Hahn orthogonal polynomials on the real line

DOI10.1016/j.amc.2014.02.019zbMath1334.42055OpenAlexW2062557459MaRDI QIDQ272622

Amílcar Branquinho, M. N. Rebocho

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.019

zbMATH Keywords

orthogonal polynomialsLax pairsmatrix Sylvester differential equationssemi-classical class

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)

Related Items (2)

Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Laguerre–Hahn orthogonal polynomials on the real line

Cites Work

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• Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
• Difference and differential equations for deformed Laguerre–Hahn orthogonal polynomials on the unit circle
• On Co-Recursive Orthogonal Polynomials
• Discrete Painlevé equations for a class of P_VIτ-functions given asU(N)averages

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