On the fix-points of composite functions
type: Item
instance of: scholarly article
title: On the fix-points of composite functions
zbMATH Open document ID: 0649.30018
author: Walter Bergweiler
published in: Pacific Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: \textit{F. Gross} [Factorization of meromorphic functions (1972; Zbl 0266.30006)] has conjectured that a composite transcendental entire function has infinitely many fix-points. It is proved that this conjecture is true if one of the two components has finite order.
reviewed by: Walter Bergweiler
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 4059783
zbMATH Keywords: composite function
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: Wiman-Valiron theory
zbMATH Keywords: fix-points
MaRDI profile type: Publication
full work available at URL: pjm.1990.143.1
OpenAlex ID: W1979619523
DOI: 10.2140/PJM.1990.143.1
description: scientific article; zbMATH DE number 4059783