International Journal of Mathematics and Mathematical Sciences 
Volume 26 (2001), Issue 8, Pages 449-455
doi:10.1155/S0161171201006007

Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc

R. Khaldi and R. Benzine

Department of Mathematics, University of Annaba, B.P. 12 Annaba, Algeria

Received 23 October 2000

Abstract

We study the asymptotic behavior of orthogonal polynomials. The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.