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Abstract
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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

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.