Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weight

Miña-Díaz, Erwin

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Publication date

December 2010

DOI

10.1016/j.jmaa.2010.03.042

Publisher

Elsevier Inc.

ISSN

0022-247X

Citation count (estimate)

Abstract

AbstractWe derive asymptotics for polynomials orthogonal over the complex unit disk with respect to a weight of the form |h(z)|2, with h(z) a polynomial without zeros in |z|<1. The behavior of the polynomials is established at every point of the complex plane. The proofs are based on adapting to the unit disk a technique of J. Szabados for the asymptotic analysis of polynomials orthogonal over the unit circle with respect to the same type of weight

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Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weight

Abstract

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Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weight

Abstract

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