Abstract
Let f be a transcendental entire function of order less than 1/2. We introduce the method of "self-sustaining spread" to study the components 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 normality of f is bounded. We obtain the same conclusion for a wandering domain if the growth rate of f is never too small.
Original language | English (US) |
---|---|
Pages (from-to) | 3243-3252 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 126 |
Issue number | 11 |
DOIs | |
State | Published - 1998 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics