Elsevier

Linear Algebra and its Applications

Volume 375, 1 December 2003, Pages 275-281
Linear Algebra and its Applications

A note on asymptotic zero distribution of orthogonal polynomials

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Abstract

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {pn}n=1 for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrtyshnikov.

MSC

15A18
15A42
33C52
33D45

Keywords

Absolutely equally distributed
Equally distributed
Orthogonal polynomials
Zero distribution

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