Entire functions with two radially distributed values
Complex Variables
2018-09-14 v3
Abstract
We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functions with zeros and one-points on different rays are constructed, using the Stokes phenomenon for second order linear differential equations.
Cite
@article{arxiv.1509.03283,
title = {Entire functions with two radially distributed values},
author = {Walter Bergweiler and Alexandre Eremenko and Aimo Hinkkanen},
journal= {arXiv preprint arXiv:1509.03283},
year = {2018}
}
Comments
24 pages; correction of one example added in v3