An entire function with no fixed points and no invariant Baker domains

Bergweiler, Walter

doi:10.1090/S0002-9939-2014-12202-7

An entire function with no fixed points and no invariant Baker domains
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Proc. Amer. Math. Soc. 143 (2015), 197-202 Request permission

Abstract:

We show that there exists an entire function which has neither fixed points nor invariant Baker domains. The question whether such a function exists was raised by Buff.

References

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