A note on asymptotic zero distribution of orthogonal polynomials

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p(n)}(n=1)(infinity) 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. (C) 2003 Elsevier Inc. All rights reserved.