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ON UNIFORMLY PERFECT BOUNDARIES OF STABLE DOMAINS IN ITERATION OF MEROMORPHIC FUNCTIONS

Published online by Cambridge University Press:  01 July 2000

ZHENG JIAN-HUA
ZHENG JIAN-HUA
Affiliation:
Department of Applied Mathematics, Tsing Hua University, Beijing, P. R. China
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Abstract

Let f[ratio ]C→Ĉ be a function which is either transcendental meromorphic or rational with degree at least 2. We discuss the uniform perfectness of the attracting or parabolic cycle of stable domains of f(z), and include a proof that the Julia set of a meromorphic function of finite type is uniformly perfect.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 4 , July 2000 , pp. 439 - 446
Copyright
© The London Mathematical Society 2000

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