Zeros of polynomials embedded in an orthogonal sequence

DOI10.1007/s11075-010-9435-4zbMath1242.26013OpenAlexW2071523448MaRDI QIDQ634188

Kerstin Jordaan, Kathy A. Driver, Alan F. Beardon

Publication date: 2 August 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2263/17814

zbMATH Keywords

three term recurrence relationinterlacing zerosconstruction of orthogonal sequencesWendroff's theorem

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) Real polynomials: location of zeros (26C10)

Related Items (2)

Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials ⋮ Quadrature identities for interlacing and orthogonal polynomials

Cites Work

• The theorems of Stieltjes and Favard
• On Orthogonal Polynomials

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