Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights

DOI10.1016/j.cam.2010.05.028zbMath1205.33018OpenAlexW2146012263MaRDI QIDQ607241

Laura Castaño-García, Cleonice F. Bracciali, Juan José Moreno Balcázar

Publication date: 19 November 2010

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.2010.05.028

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsMehler-Heine type formulas

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures ⋮ Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation

Cites Work

• On polynomials orthogonal with respect to certain Sobolev inner products
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• On orthogonal polynomials with respect to an inner product involving derivatives: Zeros and recurrence relations
• Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs
• Determination of all coherent pairs
• Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support
• Orthogonal polynomials associated with related measures and Sobolev orthogonal polynomials
• Chain sequences and symmetric generalized orthogonal polynomials
• Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case
• Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II
• Asymptotics for Gegenbauer–Sobolev orthogonal polynomials associated with non-coherent pairs of measures
• Sobolev orthogonal polynomials: Balance and asymptotics
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• Analytic aspects of Sobolev orthogonal polynomials revisited
• Companion orthogonal polynomials: some applications

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