Escaping Set of e^z-1
Dynamical Systems
2012-06-13 v2
Abstract
We investigate the set I(f) of points that converge to infinity under iteration of the map f(z) = e^z-1 and show that it is the disjoint union of countably many rays and uncountable union of infinite sets whose points escape to infinity through the sets.
Keywords
Cite
@article{arxiv.1205.5971,
title = {Escaping Set of e^z-1},
author = {Dinesh Kumar and Sanjay Kumar and A. P. Singh},
journal= {arXiv preprint arXiv:1205.5971},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to the result being already known