International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 8, Pages 449-455

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

Copyright © 2001 R. Khaldi and R. Benzine. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.