\(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation

DOI10.1016/j.cam.2004.08.008zbMath1060.42015OpenAlexW2140841563MaRDI QIDQ1772327

Francisco Marcellán, Eduardo Paciência Godoy, Juan José Moreno Balcázar, IvÁn Area

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.008

zbMATH Keywords

asymptoticsorthogonal polynomialsSobolev orthogonal polynomialslinear functionalsMeixner polynomials\(\Delta\)-coherent pairs

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials ⋮ A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case ⋮ Sobolev-orthogonal systems of functions and some of their applications

Cites Work

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• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Determination of all coherent pairs
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• A distributional study of discrete classical orthogonal polynomials
• Difference operators with Sobolev type Meixner polynomials as eigenfunctions
• Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials
• \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable
• Inner products involving differences: the meixner—sobolev polynomials
• Classification of all δ-Coherent Pairs
• On polynomials orthogonal with respect to an inner product involving differences (the general case)
• Analytic aspects of Sobolev orthogonal polynomials revisited

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