Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623428 | Journal of Mathematical Analysis and Applications | 2006 | 12 Pages |
Abstract
Let , ζh≠ζk, h≠k and |ζj|=1, j=1,…,m, and consider the polynomials orthogonal with respect to , , where μ is a finite positive Borel measure on the unit circle with infinite points in its support, such that the reciprocal of its Szegő function has an analytic extension beyond |z|<1. In this paper we deduce the asymptotic behaviour of their Verblunsky coefficients. By means of this result, an asymptotic representation for these polynomials inside the unit circle is also obtained.
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