Koebe Domains for Certain Families

DOI10.2307/2042110zbMath0408.30011OpenAlexW4231437553MaRDI QIDQ4195194

A. W. Goodman

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042110

zbMATH Keywords

Special Classes of Univalent FunctionsCovering Theorems in Conformal Mapping TheoryKoebe DomainExtremum Problems for Conformal Mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Covering theorems in conformal mapping theory (30C25)

Related Items (2)

On the Koebe quarter theorem for trinomials with fold symmetry ⋮ Yet another proof for a theorem of Landau on Koebe domains

Cites Work

• Unnamed Item
• On univalent functions with real coefficients
• Koebe domains for certain classes of analytic functions
• On univalent functions in the unit disk whose image contains a given disk
• Functions of bounded boundary rotation
• Koebe domains for univalent functions with real coefficients under Montel's normalization
• The Domain Covered by a Typically-Real Function
• On Univalent Functions Convex in One Direction
• On Three Classes of Univalent Functions with Real Coefficients
• Distortion Properties of p-Fold Symmetric Alpha-Starlike Functions
• Distortion Properties of Alpha-Starlike Functions

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