Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type

DOI10.1016/S0377-0427(99)00102-8zbMath0956.33004OpenAlexW2161693210MaRDI QIDQ1807795

Miguel A. Piñar, Henk G. Meijer

Publication date: 3 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00102-8

zbMATH Keywords

asymptoticsJacobi polynomialcoherent pairSobolev orthogonal polynomial

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)

Fourier series for coherent pairs of Jacobi measures ⋮ Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product ⋮ Companion orthogonal polynomials: some applications

Cites Work

• Unnamed Item
• On polynomials orthogonal with respect to certain Sobolev inner products
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Determination of all coherent pairs
• An asymptotic result for Laguerre-Sobolev orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type 1

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