IJPAM: Volume 85, No. 3 (2013)

JULIA SETS OF
FINITELY GENERATED RATIONAL SEMIGROUPS

Weifeng Yang
Department of Mathematics and Physics
Hunan Institute of Engineering
Xiangtan, 411104, P.R. CHINA


Abstract. Let G be a semigroup of rational functions with degree at least 2 with the semigroup operation being functional composition. We prove that if G is finitely generated and satisfies OSC(U), then J(G) has no interior points.

Received: October 24, 2012

AMS Subject Classification: 30D05

Key Words and Phrases: Fatou set, Julia set, rational semigroup

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DOI: 10.12732/ijpam.v85i3.2 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 3