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
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.
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.