On the growth of nonvanishing analytic functions
type: Item
instance of: scholarly article
title: On the growth of nonvanishing analytic functions
zbMATH Open document ID: 0967.30020
author: N. Schulte
author: F. G. Avkhadiev
author: Karl-Joachim Wirths
published in: Archiv der Mathematik
publication date: 2001-08-26T00:00:00Z
review text: In this article by a new and simple method the authors derive new and old coefficient bounds and distortion theorems for functions \(G(z)\) analytic in the unit disk and satisfying \[ \sup_{|z|<1}|G(z)|(1-|z|^2)^{\alpha}\leq 1 \] for some \(\alpha\geq 0\).
reviewed by: Zengjian Lou
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D50
zbMATH DE Number: 1484682
zbMATH Keywords: analytic functions
zbMATH Keywords: coefficient bounds
zbMATH Keywords: distortion theorems
MaRDI profile type: Publication
full work available at URL: s000130050455
OpenAlex ID: W1983650798
DOI: 10.1007/S000130050455
description: scientific article; zbMATH DE number 1484682