Variability regions for families of convex functions

DOI10.1007/BF03321769zbMath1194.30024MaRDI QIDQ977101

Hiroshi Yanagihara

Publication date: 17 June 2010

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

convex functionuniformly convex functionvariability region

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (6)

An application of the Schur algorithm to variability regions of certain analytic functions. I ⋮ Region of variability of subclasses of univalent functions ⋮ AN APPLICATION OF SCHUR’S ALGORITHM TO VARIABILITY REGIONS OF CERTAIN ANALYTIC FUNCTIONS II ⋮ Variability regions for the third derivative of bounded analytic functions ⋮ Circular symmetrization, subordination and arclength problems on convex functions ⋮ Unnamed Item

Cites Work

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• Conic regions and \(k\)-uniform convexity
• Some remarks on convex maps of the unit disk
• Regions of variability for functions of bounded derivatives
• Regions of variability for convex functions
• Subordination by Convex Functions
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Some Classes of Regular Univalent Functions

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