On the semi-classical character of orthogonal polynomials satisfying structure relations

DOI10.1080/10236198.2010.529137zbMath1241.33012OpenAlexW2091543099MaRDI QIDQ3225490

M. N. Rebocho, Amílcar Branquinho

Publication date: 21 March 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/13712

zbMATH Keywords

orthogonal polynomialsrecurrence relationssemi-classical linear functionalsstructure relations

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 (6)

A matrix approach for the semiclassical and coherent orthogonal polynomials ⋮ (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line ⋮ Higher order coherent pairs ⋮ Linear combinations of \(d\)-orthogonal polynomials

Cites Work

• Unnamed Item
• Orthogonal polynomials and their derivatives. I
• On polynomials orthogonal with respect to certain Sobolev inner products
• On the linear functionals associated to linearly related sequences of orthogonal polynomials
• Second structure relation for semiclassical orthogonal polynomials
• On linearly related sequences of derivatives of orthogonal polynomials
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• On inverse problems for orthogonal polynomials. I
• Classical orthogonal polynomials: A functional approach
• On certain determinants whose elements are orthogonal polynomials
• Orthogonal Polynomials and Their Derivatives, II
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• Another Characterization of the Classical Orthogonal Polynomials

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