Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs

DOI10.1007/s10440-008-9265-8zbMath1168.30004OpenAlexW2022639352MaRDI QIDQ1014865

A. Sri Ranga, Eliana X. L. de Andrade, Cleonice F. Bracciali

Publication date: 29 April 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9265-8

zbMATH Keywords

Gegenbauer polynomialssymmetrically coherent pairsinterlacing properties of zeroszeros of Gegenbauer-Sobolev orthogonal 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) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Other special orthogonal polynomials and functions (33C47)

Related Items (3)

Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals ⋮ Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures

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