On Bounded Univalent Functions Whose Ranges Contain a Fixed Disk

DOI10.2307/1997496zbMath0351.30007OpenAlexW4238928558MaRDI QIDQ4120800

Roger W. Barnard

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997496

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, variational methods (30C70) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Cluster sets, prime ends, boundary behavior (30D40)

Cites Work

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• On the Loewner differential equation
• A coefficient problem for a class of univalent functions
• On univalent functions in the unit disk whose image contains a given disk
• On Circularly Symmetric Functions
• A Variational Method for Starlike Functions
• A Note on Extremal Problems for Certain Classes of Analytic Functions
• The MacLaurin Coefficients of Bounded Convex Functions
• Extremal Problems for Analytic Functions with Positive Real Part and Applications

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