Fixed points of composite entire and quasiregular maps

Details Fixed points of composite entire and quasiregular maps Fixed points of composite entire and quasiregular maps

2005-09-27

arxiv.org/abs/math/0509635v1

Ann. Acad. Sci. Fenn. Math. 31 (2006), 523-540.

Mathematics

Complex Variables

15 pages

Scientific paper

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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