Identifying logarithmic tracts
Complex Variables
2019-02-13 v1 Dynamical Systems
Abstract
We show that a direct tract bounded by a simple curve is a logarithmic tract and further give sufficient conditions for a direct tract to contain logarithmic tracts. As an application of these results, an example of a function with infinitely many direct singularities, but no logarithmic singularity over any finite value, is shown to be in the Eremenko-Lyubich class.
Keywords
Cite
@article{arxiv.1902.04330,
title = {Identifying logarithmic tracts},
author = {James Waterman},
journal= {arXiv preprint arXiv:1902.04330},
year = {2019}
}
Comments
12 pages