Julia set of the function \(z\exp(z+\mu)\)
type: Item
instance of: scholarly article
title: Julia set of the function \(z\exp(z+\mu)\)
zbMATH Open document ID: 0795.30022
author: Cheol Min Jang
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1994-02-07T00:00:00Z
review text: The author shows that there is a certain \(\alpha> 2\) such that for all \(\mu\in (-\infty,2)\cup (2,\alpha)\) the function \(f_ \mu\): \(z\to z \exp(z+\mu)\) has a Julia set which is not the whole complex plane. He also shows that there is a sequence \(\mu_ n\) such that \(2< \mu_ n< \mu_{n+1}\) and the Julia set of \(f_{\mu_ n}\) is the whole complex plane.
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 495485
zbMATH Keywords: Julia set
reviewed by: I. N. Baker
MaRDI profile type: Publication
Wikidata QID: Q121826921
full work available at URL: https://doi.org/10.2748/tmj/1178227343
OpenAlex ID: W4244754511
cites work: Q5593934
cites work: Iteration of exponential functions
cites work: Complex analytic dynamics on the Riemann sphere
cites work: Dynamics of exp (z)
cites work: On iterates of ez
DOI: 10.2748/TMJ/1178227343
description: scientific article; zbMATH DE number 495485