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Uniformly bounded components of normality
Published online by Cambridge University Press: 01 July 2007
Abstract
Suppose that f(z) is a transcendental entire function and that the Fatou set F(f)≠∅. Setandwhere the supremum supU is taken over all components of F(f). If B1(f)<∞ or B2(f)<∞, then we say F(f) is strongly uniformly bounded or uniformly bounded respectively. We show that, under some conditions, F(f) is (strongly) uniformly bounded.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 1 , July 2007 , pp. 85 - 101
- Copyright
- Copyright © Cambridge Philosophical Society 2007