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Fixed points of composite entire and quasiregular maps

Research paper by Walter Bergweiler

Indexed on: 27 Sep '05Published on: 27 Sep '05Published in: Mathematics - Complex Variables



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.