Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one

DOI10.1080/10652469.2016.1160903zbMath1350.33015OpenAlexW2315587880MaRDI QIDQ2816497

M. N. Rebocho, Galina Filipuk

Publication date: 23 August 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1160903

zbMATH Keywords

orthogonal polynomialsStieltjes functionsRiccati differential equationsdiscrete Painleve equations

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) Painlevé-type functions (33E17)

Related Items (7)

A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight ⋮ Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Differential equations for families of semi-classical orthogonal polynomials within class one ⋮ Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ The symmetric semi-classical orthogonal polynomials of class two and some of their extensions ⋮ Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one

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