Asymptotics for orthogonal polynomials off the circle

We study the strong asymptotics of orthogonal polynomials with respect to a measure of the type dμ/2π+∑j=1∞Ajδ(z−zk), where μ is a positive measure on the unit circle Γ satisfying the Szegö condition and {zj}j=1∞ are fixed points outside Γ. The masses {Aj}j=1∞ are positive numbers such that ∑j=1∞Aj&...

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Bibliographic Details
Main Authors: R. Khaldi, R. Benzine
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X04304092
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