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arxiv: 1510.02339 · v1 · pith:X7RDRBXOnew · submitted 2015-10-08 · 🧮 math.CA

On asymptotic Gauss-Lucas theorem

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keywords gauss-lucastheoremunivariatezerosalmostasymptoticboundedcase
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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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