A note on repelling periodic points for meromorphic functions with bounded set of singular values
Dynamical Systems
2016-02-11 v3
Abstract
Let be a meromorphic function with bounded set of singular values and for which infinity is a logarithmic singularity. Then we show that has infinitely many repelling periodic points for any minimal period , using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.
Keywords
Cite
@article{arxiv.1411.6796,
title = {A note on repelling periodic points for meromorphic functions with bounded set of singular values},
author = {Anna Miriam Benini},
journal= {arXiv preprint arXiv:1411.6796},
year = {2016}
}
Comments
References and a figure added, improvements in the proof, 8 pages