Entire functions with separated zeros and $1$-points
Complex Variables
2020-12-29 v1
Abstract
We consider transcendental entire functions of finite order for which the zeros and -points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we show that such functions must have a specific form, or that such functions do not exist at all.
Cite
@article{arxiv.2002.00376,
title = {Entire functions with separated zeros and $1$-points},
author = {Walter Bergweiler and Alexandre Eremenko},
journal= {arXiv preprint arXiv:2002.00376},
year = {2020}
}
Comments
19 pages