On a class of p-valent starlike functions of order \(\alpha\)
type: Item
instance of: scholarly article
title: On a class of p-valent starlike functions of order \(\alpha\)
zbMATH Open document ID: 0624.30021
DOI: 10.1155/S0161171287000838
author: M. K. Aouf
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46202
review text: The author studies analytic functions f in the unit disk \({\mathbb{D}}\) which have the form \[ f(z) = z^ p+\sum^{\infty}_{n=p+1}a_ nz^ n, \] \(p\in {\mathbb{N}}\), and for which \[ (zf'/f)(z)\quad \prec \quad (p+(pB+(A- B)(p-\alpha))z/(1+Bz)), \] A,B\(\in [-1,1]\), \(\alpha\in [0,p]\). Distortion theorems and coefficient estimates are given.
reviewed by: W. Koepf
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 4012979
zbMATH Keywords: Distortion theorems
zbMATH Keywords: coefficient estimates
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4012979