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An entire function with slow growth and simple dynamics

Published online by Cambridge University Press:  07 May 2002

DAVID A. BOYD
DAVID A. BOYD
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99164, USA (e-mail: boyd@math.wsu.edu)
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Abstract

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In this paper we prove the existence of an entire transcendental function of arbitrarily slow growth which exhibits simple dynamics on its Fatou set.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 2 , April 2002 , pp. 317 - 322
Copyright
2002 Cambridge University Press