Fixed points of composite entire and quasiregular maps
Complex Variables
2007-05-23 v1
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.
Cite
@article{arxiv.math/0509635,
title = {Fixed points of composite entire and quasiregular maps},
author = {Walter Bergweiler},
journal= {arXiv preprint arXiv:math/0509635},
year = {2007}
}
Comments
15 pages