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arxiv: math/0003175 · v1 · pith:ALEJXUGAnew · submitted 2000-03-27 · 🧮 math.CV · math.CA

On zeros of polynomials orthogonal over a convex domain

classification 🧮 math.CV math.CA
keywords convexdomainorthogonalpolynomialszerosapplicationarbitraryconcerning
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We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain.

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