Walter Bergweiler:

Fixed points of composite entire and quasiregular maps

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.

Electronic Print: Front for the Mathematics ArXiv

Mathematics Subject Classification (1991): 30D05, 30C65, 30D35

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

Mail an Jens Burmeister

[Thu Feb 19 18:56:37 2009]

Impressum