Boundedness of components of Fatou sets of entire and meromorphic functions
type: Item
instance of: scholarly article
title: Boundedness of components of Fatou sets of entire and meromorphic functions
zbMATH Open document ID: 1084.30026
author: Sheng Wang
author: Jian-Hua Zheng
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2005-05-23T00:00:00Z
review text: Let \(f\) be an entire or a meromorphic function. Concerning the iterated dynamical system of \(f\), the stable set is defined to be the Fatou set. Each component of Fatou set is called a Fatou component. The authors investigate the boundedness of the Fatou components, and prove some results under some conditions.
reviewed by: Jianyong Qiao
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 2170640
zbMATH Keywords: entire function
zbMATH Keywords: iteration
zbMATH Keywords: wandering domain
zbMATH Keywords: order
MaRDI profile type: Publication
Recommended article: Q3530534
Recommended article: Boundedness of Fatou components of holomorphic maps
Recommended article: Q3839797
Recommended article: Hyperbolic entire functions with bounded Fatou components
Recommended article: Non-existence of unbounded Fatou components of a meromorphic function
Recommended article: Q4900464
Recommended article: Fatou components and singularities of meromorphic functions
Recommended article: Bounded domains of the Fatou set of an entire function
Recommended article: Q3365956
Recommended article: Bounded Fatou components of transcendental entire functions with order less than 1/2
description: scientific article; zbMATH DE number 2170640