Variability Regions for Bounded Analytic Functions with Applications to Families Defined by Subordination

DOI10.2307/2042952zbMath0443.30029OpenAlexW4242353200MaRDI QIDQ3886002

Yusuf Abu Muhanna, Thomas H. MacGregor

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042952

zbMATH Keywords

extreme pointsubordinationanalytic functionunivalent functionBlaschke productbounded functioncoefficient regionsregion of variability

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

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• Extremal functions for functionals on some classes of analytic functions
• A variational method for functions with positive real part
• Applications of extreme-point theory to univalent functions
• Frechet Differentiable Functionals and Support Points for Families of Analytic Functions
• Extremal Problems and Coefficient Regions for Analytic Functions Represented by a Stieltjes Integral
• A Note on Extremal Problems for Certain Classes of Analytic Functions
• Extremal Problems for Analytic Functions with Positive Real Part and Applications

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