WEAKLY REPELLING FIXPOINTS AND THE CONNECTIVITY OF WANDERING DOMAINS

Authors
BERGWEILER W TERGLANE N
Citation
W. Bergweiler et N. Terglane, WEAKLY REPELLING FIXPOINTS AND THE CONNECTIVITY OF WANDERING DOMAINS, Transactions of the American Mathematical Society, 348(1), 1996, pp. 1-12
Citations number
43
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
1
Year of publication
1996
Pages
1 - 12
Database
ISI
SICI code
0002-9947(1996)348:1<1:WRFATC>2.0.ZU;2-7
Abstract
It is proved that if a transcendental meromorphic function f has a mul tiply-connected wandering domain, then f has a fixpoint z(0) such that \f'(z(0))\ > 1 or f' (z(0)) = 1. Entire functions with a multiply-con nected wandering domain have infinitely many such fixpoints. These res ults are used to show that solutions of certain differential equations do not have wandering domains at all.