Meromorphic functions with three radially distributed values
Complex Variables
2022-03-08 v3
Abstract
We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if the rays are equally spaced. We also obtain a normal family analogue of this result.
Cite
@article{arxiv.2011.05899,
title = {Meromorphic functions with three radially distributed values},
author = {Walter Bergweiler and Alexandre Eremenko},
journal= {arXiv preprint arXiv:2011.05899},
year = {2022}
}
Comments
31 pages; minor revision of v2