Closed convex hulls and extreme points of some subclasses of close-to- convex functions

DOI10.1007/BF01849018zbMath0495.30012OpenAlexW2065561942MaRDI QIDQ1169587

G. P. Kapoor, Akshaya Kumar Mishra

Publication date: 1983

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01849018

zbMATH Keywords

extreme pointsstarlike functionclose-to-convex functionscoefficient estimatesdistortion boundsclosed convex hulls

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

• On a certain univalent mapping
• Applications of extreme-point theory to univalent functions
• Close-to-convex schlicht functions
• Convex Hulls and Extreme Points of Some Families of Univalent Functions
• New Subclasses of the Class of Close-to-Convex Functions
• Extreme Points of Subclasses of Close-to-Convex Functions
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Convex Hulls of Some Classical Families of Univalent Functions
• Some radius of convexity problems

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