Univalent polynomials and Koebe's one-quarter theorem

DOI10.1007/s13324-019-00305-xzbMath1439.30010arXiv1812.08311OpenAlexW2963254946MaRDI QIDQ2009428

Alex Stokolos, Dmitriy Dmitrishin, Konstantin M. Dyakonov

Publication date: 28 November 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08311

zbMATH Keywords

Koebe radiusKoebe's one-quarter theoremunivalent polynomial

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)

Related Items (10)

Some extremal problems for trinomials with fold symmetry ⋮ On the koebe quarter theorem for certain polynomials of odd degree ⋮ On the Koebe Quarter Theorem for Polynomials ⋮ On the Koebe Quarter Theorem for certain polynomials ⋮ On the Koebe quarter theorem for trinomials with fold symmetry ⋮ An extremal problem for odd univalent polynomials ⋮ On a certain subclass of univalent functions ⋮ An extremal problem for polynomials ⋮ Symmetrization of Suffridge polynomials and approximation of \(T\)-symmetric Koebe functions ⋮ On a family of extremal polynomials

Cites Work

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• A proof of the Bieberbach conjecture
• On a family of extremal polynomials
• The de Branges Theorem on Univalent Functions
• Univalent Polynomials and Non-Negative Trigonometric Sums
• Domains of Variability for Univalent Polynomials
• On Univalent Polynomials
• Coefficient regions for univalent polynomials of small degree

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