On the Koebe Quarter Theorem for Polynomials

DOI10.15673/tmgc.v14i3.2057zbMath1492.30016arXiv1904.11039OpenAlexW4210298394MaRDI QIDQ5071802

Jimmy Dillies, Dmitriy Dmitrishin, Andrey Smorodin, Alex Stokolos

Publication date: 22 April 2022

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11039

zbMATH Keywords

Koebe radiusunivalent polynomialKoebe one-quarter theorem

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Covering theorems in conformal mapping theory (30C25)

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Cites Work

• On maximal ranges of polynomial spaces in the unit disk
• Univalent polynomials and Koebe's one-quarter theorem
• Lower bounds for the volume of the image of a ball
• Weakened problem on extremal decomposition of the complex plane
• Representation Formulas for the Class of Typically Real Polynomials
• On Univalent Polynomials
• Coefficient regions for univalent polynomials of small degree
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