Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type

DOI10.1006/jmaa.2000.6779zbMath0965.42017OpenAlexW2035452734MaRDI QIDQ1570215

Teresa E. Pérez, Miguel A. Piñar, Henk G. Meijer

Publication date: 25 July 2001

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

Full work available at URL: https://semanticscholar.org/paper/dee3960df727923304844f4ea35d9a3c51cb3914

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsLaguerre polynomialsLaguerre weightcoherent 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 (11)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Coherent pairs of measures and Markov-Bernstein inequalities ⋮ Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure ⋮ Orthogonal polynomials with respect to the Laguerre measure perturbed by the canonical transformations ⋮ \(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ A Cohen-Type Inequality for Fourier Expansions with Respect to Non-Discrete Laguerre–Sobolev Inner Product ⋮ Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II ⋮ Zeros of Sobolev orthogonal polynomials of Hermite type ⋮ A generating function for Laguerre-Sobolev orthogonal polynomials.

Cites Work

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• 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 coherent pairs of measures
• Laguerre-Sobolev orthogonal polynomials

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