Asymptotic values of entire functions of infinite order
Complex Variables
2022-01-17 v1
Abstract
We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition that the function is of infinite order.
Cite
@article{arxiv.2201.05246,
title = {Asymptotic values of entire functions of infinite order},
author = {Aimo Hinkkanen and Joseph Miles},
journal= {arXiv preprint arXiv:2201.05246},
year = {2022}
}