A Converse of the Gauss–Lucas Theorem

DOI10.4169/AMER.MATH.MONTHLY.121.06.541zbMath1303.30006DBLPjournals/tamm/NikolovS14arXiv1307.8236OpenAlexW1566387723WikidataQ58158494 ScholiaQ58158494MaRDI QIDQ2928657

Blagovest Sendov, Nikolai Nikolov

Publication date: 10 November 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.8236

zbMATH Keywords

linear functionalGauss-Lucas theoremdiameter of the zero set

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

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