Abstract and Applied Analysis
Volume 2003 (2003), Issue 17, Pages 985-993
doi:10.1155/S1085337503306347

Zero distribution of sequences of classical orthogonal polynomials

Plamen Simeonov

Department of Computer and Mathematical Sciences, University of Houston-Downtown, Houston 77002, TX, USA

Abstract

We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.