Radius of strongly starlikeness for certain analytic functions
type: Item
instance of: scholarly article
title: Radius of strongly starlikeness for certain analytic functions
zbMATH Open document ID: 1004.30008
DOI: 10.1155/S0161171202007378
author: Oh Sang Kwon
author: Shigeyoshi Owa
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/49712
full work available at URL: S0161171202007378.html
review text: The authors consider an interesting subclass of analytic and \(p\)-valent functions which are strongly starlike of order \(\gamma(p\in \mathbb{N}: =\{1,2,3,\dots\}\); \(0<\gamma\leq 1)\). In particular, for a normalized analytic and \(p\)-valent function \(f(z)\) in the open unit disk, they put \(F(z)=f(z) [Q(z)]^{\beta/n}\) \((\beta\in \mathbb{R};\;n\in\mathbb{N})\), where \(Q(z)\) is a polynomial of degree \(n\), all of whose zeros lie outside or on the unit circle, and then determine the radius \(R(\gamma)\) such that \(F(z)\) is \((p\)-valently) strongly starlike of order \(\gamma\) in \(|z|< R(\gamma)\).
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 1780341
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
OpenAlex ID: W2057457845
description: scientific article; zbMATH DE number 1780341