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arXiv · 1510.02339

On asymptotic Gauss-Lucas theorem

R. Boegvad·D. Khavinson·B. Shapiro
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Abstract

In this note we extend the Gauss-Lucas theorem on the zeros of the derivative of a univariate polynomial to the case of sequences of univariate polynomials whose almost all zeros lie in a given convex bounded domain in C.

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R. Boegvad, D. Khavinson, B. Shapiro. 2015-10-08. On asymptotic Gauss-Lucas theorem. https://arxiv.org/abs/1510.02339

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