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The iteration of entire functions of small growth

Published online by Cambridge University Press:  24 October 2008

Gwyneth M. Stallard
Gwyneth M. Stallard
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, LondonSW7 2AZ
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Abstract

We show that if a transcendental entire function has order zero and sufficiently small growth or has order ρ < ½ and regular growth then its set of normality has no unbounded components.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 43 - 55
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

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