Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures

DOI10.1016/j.jat.2010.05.003zbMath1209.42017OpenAlexW2004452250MaRDI QIDQ619044

Cleonice F. Bracciali, Eliana X. L. de Andrade, Laura Castaño-García, Juan José Moreno Balcázar

Publication date: 21 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2010.05.003

zbMATH Keywords

asymptoticsorthogonal polynomialsMehler-Heine asymptoticsSobolev polynomials

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)

Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros ⋮ Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures

Cites Work

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• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Determination of all coherent pairs
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• Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case
• Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Sobolev orthogonal polynomials: Balance and asymptotics
• Orthogonal polynomials
• Analytic aspects of Sobolev orthogonal polynomials revisited

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