Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one

DOI10.1016/S0377-0427(98)00152-6zbMath0931.33009OpenAlexW2083247659MaRDI QIDQ1298557

André Ronveaux, Mama Foupouagnigni, Mahouton Norbert Hounkonnou

Publication date: 22 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00152-6

zbMATH Keywords

semi-classical orthogonal polynomialsrecurrence coefficientsLaguerre-Freud equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (14)

Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials ⋮ On some perturbed \(D_{-\omega}\)-semiclassical orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ Discrete semi-classical orthogonal polynomials: Generalized Charlier ⋮ A family of discrete semi-classical orthogonal polynomials of class one ⋮ Discrete orthogonal polynomials – polynomial modification of a classical functional ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ New families of orthogonal polynomials ⋮ On difference equations for orthogonal polynomials on nonuniform lattices¹ ⋮ The symmetric \(D_{\omega}\)-semi-classical orthogonal polynomials of class one ⋮ Orthogonal polynomials---centroid of their zeroes ⋮ Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one ⋮ (1,1)-D_ω-coherent pairs

Uses Software

• Maple

Cites Work

• Discrete semi-classical orthogonal polynomials: generalized Meixner
• Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
• Discrete semi-classical orthogonal polynominals
• Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
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