Some symmetric semi-classical orthogonal polynomials of class 0≤s≤5

DOI10.1080/10652460600725085zbMath1103.33006OpenAlexW2000636892MaRDI QIDQ5481665

Atia, Mohamed Jalel

Publication date: 10 August 2006

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

Full work available at URL: https://doi.org/10.1080/10652460600725085

zbMATH Keywords

orthogonal polynomialsemi-classical linear functionals\(\sigma\)-operatorChristoffel--Darboux formula

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 (3)

On orthogonal polynomials: semiclassical and of second category ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition

Cites Work

• Unnamed Item
• Variations around classical orthogonal polynomials. Connected problems
• Some generalized Jacobi polynomials.
• Harmonic analysis and integral transforms associated with a class of a system of partial differential operators
• Symmetric laguerre-hahn forms of classs=1
• An example of nonsymmetric semi-classical form of class \(s=1\); generalization of a case of Jacobi sequence

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