English

An entire function with no fixed points and no invariant Baker domains

Complex Variables 2014-11-04 v1

Abstract

We show that there exists an entire function which has neither fixed points nor invariant Baker domains. The question whether such a function exists was raised by Buff.

Keywords

Cite

@article{arxiv.1210.5127,
  title  = {An entire function with no fixed points and no invariant Baker domains},
  author = {Walter Bergweiler},
  journal= {arXiv preprint arXiv:1210.5127},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-21T22:24:08.639Z