On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1

DOI10.1006/jmaa.1998.5991zbMath0913.42019OpenAlexW2001957013MaRDI QIDQ1269607

K. Appert

Publication date: 23 March 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5991

zbMATH Keywords

Sobolev orthogonal polynomialsLaguerre polynomialscoherent pairs of measuresSobolev inner products

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)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials ⋮ Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II

Cites Work

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• On polynomials orthogonal with respect to certain Sobolev inner products
• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
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• On Sobolev orthogonal polynomials with coherent pairs. The Jacobi case
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Laguerre-Sobolev orthogonal polynomials
• Where Does the L p -Norm of a Weighted Polynomial Live?
• Orthogonal polynomials
• Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type 1
• Zero Distribution and Behavior of Orthogonal Polynomials in the Sobolev Space $W^{1,2} [ - 1,1$]

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