Julia sets of inner compositions
type: Item
instance of: scholarly article
title: Julia sets of inner compositions
zbMATH Open document ID: 0854.30019
DOI: 10.1007/BF01268928
author: Ramez N. Maalouf
published in: Archiv der Mathematik
publication date: 1996-10-27T00:00:00Z
review text: We consider sequences \(\{h_n\}\) of entire functions which converge locally uniformly in the plane to an entire function \(h\), and study the relationship between the sets of normality and nonnormality of the sequence \(\{\Theta_n = h_1 \circ h_2 \circ \cdots \circ h_n\}\) and those of the sequence of iterates of \(h\). In some cases involving polynomials we show that these two sets are the same for both sequences.
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 938585
zbMATH Keywords: Julia set
MaRDI profile type: Publication
Wikidata QID: Q123335475
cites work: Repulsive fixpoints of entire functions
cites work: Q5723337
description: scientific article; zbMATH DE number 938585