A class of bounded starlike functions
type: Item
instance of: scholarly article
title: A class of bounded starlike functions
zbMATH Open document ID: 0796.30006
DOI: 10.1155/S0161171294000360
author: H. Silverman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/46972
review text: Let \(R(\alpha)\), \(\alpha<1\), denote the class of functions \(f\) which are analytic in the unit disk \(D\) and such that \[ \text{Re}(f'(z)+ zf''(z))>\alpha,\quad z\in D. \] The author obtains extreme points, sharp lower bounds on \(\text{Re }f'(z)\) and \(\text{Re}(f(z)/z)\) for \(f\in R(\alpha)\).
reviewed by: J.Kaczmarski
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 569391
zbMATH Keywords: starlike
zbMATH Keywords: extreme points
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 569391