Zeros of Sobolev orthogonal polynomials of Gegenbauer type

DOI10.1006/jath.2001.3643zbMath1008.33006OpenAlexW2002128243MaRDI QIDQ1604405

W. G. M. Groenevelt

Publication date: 4 July 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3643

zbMATH Keywords

zeros of polynomialsSobolev orthogonal polynomialsGegenbauer polynomialssymmetrically coherent pairs

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 (2)

Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs

Cites Work

• On polynomials orthogonal with respect to certain Sobolev inner products
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Zeros of Sobolev orthogonal polynomials following from coherent pairs
• Determination of all coherent pairs
• Zeros of Sobolev orthogonal polynomials of Hermite type
• Laguerre-Sobolev orthogonal polynomials
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