Bounded Fatou components of composite transcendental entire functions with gaps
type: Item
instance of: scholarly article
title: Bounded Fatou components of composite transcendental entire functions with gaps
zbMATH Open document ID: 1418.30020
DOI: 10.1155/2015/149182
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We prove that composite transcendental entire functions with certain gaps have no unbounded Fatou component.
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 30D15
zbMATH DE Number: 7025236
Wikidata QID: Q59105309
author: Cunji Yang
author: Shaoming Wang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/149182
OpenAlex ID: W2065839166
cites work: Q4002072
cites work: Complex dynamics
cites work: Dynamics in one complex variable. Introductory lectures.
cites work: Q3929977
cites work: Unbounded domains of normality
cites work: Q3530534
cites work: Q3365956
cites work: Bounded domains of the Fatou set of an entire function
cites work: Unbounded domains of normality of entire functions of small growth
cites work: Some scheduling problems with general position-dependent and time-dependent learning effects
cites work: On the Fatou set of an entire function with gaps
cites work: Q4320228
cites work: Boundedness of Fatou components of holomorphic maps
cites work: Composite entire functions with no unbounded Fatou components
cites work: Functions of small growth with no unbounded Fatou components
cites work: Proof of a conjecture of G. Polya concerning gap series
cites work: Angular Value Distribution of Power Series with Gaps
cites work: A gap-theorem for entire functions of infinite order
cites work: The deficiency of entire functions with Fejer gaps
cites work: Q4900464
description: scientific article; zbMATH DE number 7025236