A sufficient condition for starlikeness of order \(\alpha\)
type: Item
instance of: scholarly article
title: A sufficient condition for starlikeness of order \(\alpha\)
zbMATH Open document ID: 1085.30501
DOI: 10.1155/S0161171201011656
author: Petru T. Mocanu
author: Gheorghe Oros
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/52261
review text: Summary: We obtain a sufficient condition for starlikeness of order \(\alpha, | f'(z) - \lambda(f(z)/z) + \lambda - 1| < M = M_n(\lambda,\alpha)\), where \(\lambda \in [0,1], \alpha \in [0,1)\) and the function \(f(z) = z + a_{n + 1}z^{n+1} + \cdots\) is analytic in the unit disc \(U\).
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 1780295
MaRDI profile type: Publication
OpenAlex ID: W2109619073
description: scientific article; zbMATH DE number 1780295