Extreme points of families of analytic functions subordinate to convex mappings

DOI10.1007/BF01214761zbMath0461.30018MaRDI QIDQ1152485

Thomas H. MacGregor, Yusuf Abu Muhanna

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183660

zbMATH Keywords

subordinationextreme pointsconvex mappings

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)

Related Items (6)

On extreme points of families of analytic functions with values in a convex set ⋮ Classes of analytic functions subordinate to convex functions and extreme points ⋮ Support Points of Families of Analytic Functions Described by Subordination ⋮ On extreme points of subordination families with a convex majorant ⋮ On extreme points of some sets of holomorphic functions ⋮ Extreme points and support points of subordination families

Cites Work

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• Certain integrals of univalent and convex functions
• A characterization of the extreme points of some convex sets of analytic functions
• The Hardy class of some univalent functions and their derivatives
• Subordination and extreme-point theory
• On the Extreme Points of Some Sets of Analytic Functions
• Frechet Differentiable Functionals and Support Points for Families of Analytic Functions

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