On an extension of symmetric coherent pairs of orthogonal polynomials

DOI10.1016/j.cam.2004.02.026zbMath1077.42016OpenAlexW2009865743MaRDI QIDQ1772339

Antonia M. Delgado, Francisco Marcellán

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.2004.02.026

zbMATH Keywords

orthogonal polynomialslinear functionalsSobolev inner productsymmetric linear functionals

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 (7)

Unnamed Item ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials ⋮ (1, 1)-\(q\)-coherent pairs ⋮ Higher order coherent pairs ⋮ An inverse problem associated with (1,1) symmetric coherent linear functionals ⋮ Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs

Cites Work

• On polynomials orthogonal with respect to certain Sobolev inner products
• Determination of all coherent pairs
• Companion orthogonal polynomials: some applications
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