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On zeros of polynomials orthogonal over a convex domain

V. V. Andrievskii, I. E. Pritsker, R. S. Varga

math.CVarXiv:math/0003175

Abstract

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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