On certain sufficient conditions for starlikeness
type: Item
instance of: scholarly article
title: On certain sufficient conditions for starlikeness
zbMATH Open document ID: 0954.30003
DOI: 10.1155/S0161171200003574
author: Nikola Tuneski
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-02-08T00:00:00Z
full work available at URL: https://eudml.org/doc/48620
review text: The author makes use of the method of differential subordination due to S. Miller and P. T. Mocanu [Mich. Math. J. 28, 157-172 (1981; Zbl 0456.30022)] to obtain some sufficient conditions for starlikeness. A typical result is as follows: If \(f(z)=z+ \sum^\infty_{k=2} a_kz^k\) for \(|z|<1\) and \[ f(z)f''(z) \bigl(f'(z) \bigr)^{-2} \prec 2-2(1-z)^2 \] holds the unit disk, then \(f\) is starlike univalent.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 1496718
zbMATH Keywords: conditions for starlikeness
reviewed by: Eligiusz Złotkiewicz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1496718