Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials

DOI10.2991/jnmp.2003.10.s2.19zbMath1362.39018OpenAlexW2158028554MaRDI QIDQ5346883

Walter Van Assche, Mama Foupouagnigni

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.s2.19

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete version of topics in analysis (39A12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Painlevé-type functions (33E17)

Related Items (16)

Classical solutions of the degenerate fifth Painlevé equation ⋮ Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Comparative asymptotics for discrete semiclassical orthogonal polynomials ⋮ On some perturbed \(D_{-\omega}\)-semiclassical orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations ⋮ Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation ⋮ Orthogonal polynomials on a bi-lattice ⋮ Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI ⋮ The symmetric \(D_{\omega}\)-semi-classical orthogonal polynomials of class one ⋮ Orthogonal polynomials---centroid of their zeroes ⋮ On the Recurrence Coefficients for Generalized q-Laguerre Polynomials ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis ⋮ Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one

Cites Work

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• Discrete semi-classical orthogonal polynomials: generalized Meixner
• On Freud's equations for exponential weights
• Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one
• The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
• Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
• Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
• Discrete semi-classical orthogonal polynomials: Generalized Charlier
• Extremal Polynomials on Discrete Sets

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