UNBOUNDED-DOMAINS OF NORMALITY

Authors
ANDERSON JM HINKKANEN A
Citation
Jm. Anderson et A. Hinkkanen, UNBOUNDED-DOMAINS OF NORMALITY, Proceedings of the American Mathematical Society, 126(11), 1998, pp. 3243-3252
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
11
Year of publication
1998
Pages
3243 - 3252
Database
ISI
SICI code
0002-9939(1998)126:11<3243:UON>2.0.ZU;2-4
Abstract
Let f be a transcendental entire function of order less than 1/2. We i ntroduce the method of ''self-sustaining spread'' to study the compone nts of the set of normality of such a function. We give a new proof of the fact that any preperiodic or periodic component of the set of nor mality of f is bounded. We obtain the same conclusion for a wandering domain if the growth rate of f is never too small.