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Some entire functions with multiply-connected wandering domains

Published online by Cambridge University Press:  19 September 2008

I. N. Baker
I. N. Baker
Affiliation:
Department of Mathematics, Imperial College of Science and Technology, University of London, London SW7 2BZ, England
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Abstract

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A component U of the complement of the Julia set of an entire function ƒ is a wandering domain if the sets ƒn(U) are mutually disjoint, where n ∈ℕ and ƒn is the n-th iterate of ƒ. Examples are given of entire ƒ of order , which have multiply-connected wandering domains. An example is given where the connectivity is infinite.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 2 , June 1985 , pp. 163 - 169
Copyright
Copyright © Cambridge University Press 1985

References

REFERENCES

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