Disk of univalence of the ratio of two analytic functions

DOI10.1080/17476933.2014.936864zbMath1318.30032OpenAlexW2002626375MaRDI QIDQ4982011

Obradović, Milutin, Saminathan Ponnusamy

Publication date: 23 March 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.936864

zbMATH Keywords

star-like functionsradius of univalence

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (1)

On De la Vallée Poussin means for harmonic mappings

Cites Work

• Coefficient characterizations and sections for some univalent functions
• Region of variability of two subclasses of univalent functions
• A proof of the Bieberbach conjecture
• Univalence and starlikeness of certain transforms defined by convolution of analytic functions
• Radius of convexity of partial sums of functions in the close-to-convex family
• Analytic functions convex in one direction
• New criteria and distortion theorems for univalent functions
• A class of locally univalent functions defined by a differential inequality§

This page was built for publication: Disk of univalence of the ratio of two analytic functions