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Fatou components of entire functions of small growth

Published online by Cambridge University Press:  01 October 1999

XINHOU HUA  and
CHUNG-CHUN YANG
XINHOU HUA
Affiliation:
Institute of Mathematics, Nanjing University, Nanjing 210093, P. R. China (e-mail: [email protected])
CHUNG-CHUN YANG
Affiliation:
Department of Mathematics, HKUST, Hong Kong (e-mail: [email protected])
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Abstract

This paper is concerned with the dynamics of transcendental entire functions. Let $f(z)$ be a transcendental entire function. We shall study the boundedness of the components of the Fatou set $F(f)$ under some restrictions on the growth of the function. This relates to a problem due to Baker in 1981.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 5 , October 1999 , pp. 1281 - 1293
Copyright
1999 Cambridge University Press

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