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Fixed points of composite entire and quasiregular maps

Walter Bergweiler
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Abstract

We give a new proof of the result that if f and g are transcendental entire functions, then the composite function f(g) has infinitely many fixed points. The method yields a number of generalization of this result. In particular, it extends to quasiregular maps in space.

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Walter Bergweiler. 2005-09-27. Fixed points of composite entire and quasiregular maps. https://arxiv.org/abs/math/0509635

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