Convex hulls and extreme points of some classes of multivalent functions

DOI10.1016/0022-247X(82)90155-XzbMath0487.30007MaRDI QIDQ1165343

G. P. Kapoor, Akshaya Kumar Mishra

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

extreme pointsclosed convex hullp-valent functions

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)

Related Items (4)

Some properties of two subclasses of \(k\)-fold symmetric functions associated with Srivastava-Attiya operator ⋮ Invariance of some subclass of multivalent functions under a differintegral operator ⋮ Closed convex hull of the family of multivalently close-to-convex functions of order \(\beta\) ⋮ A generalization of the Srivastava–Attiya transform and associated classes

Cites Work

• Unnamed Item
• Some extremal theorems for multivalently star-like functions
• Convex hulls and extreme points of families of starlike and close-to- convex mappings
• Applications of extreme-point theory to univalent functions
• A representation of all analytic functions in terms of functions with positive real part
• Multivalently Close-to-Convex Functions
• Applications of Extreme Point Theory to Classes of Multivalent Functions
• Extreme Points of Subclasses of Close-to-Convex Functions
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• p-Valent Close-to-Convex Functions
• Convex Hulls of Some Classical Families of Univalent Functions
• On the Schwarz-Christoffel Transformation and p-Valent Functions
• Some radius of convexity problems

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