Notes on convex functions of order \(\alpha\)

DOI10.1007/S40315-015-0122-2zbMath1350.30031arXiv1502.05127OpenAlexW1839157894MaRDI QIDQ260303

Toshiyuki Sugawa, Li-Mei Wang

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1502.05127

zbMATH Keywords

subordinationconvex functionsstar-like functions

Mathematics Subject Classification ID

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

Related Items (1)

Mapping properties of the zero-balanced hypergeometric functions

Cites Work

• On the order of starlikeness of the shifted Gauss hypergeometric function
• Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\)
• On starlike and convex functions of order \(\alpha\)
• New Criteria for Univalent Functions
• Subordination by Convex Functions
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Univalent Functions and Nonanalytic Curves
• On the Valence of the Sum of Two Convex Functions

This page was built for publication: Notes on convex functions of order \(\alpha\)