Herman rings of meromorphic maps with an omitted value
Dynamical Systems
2015-01-08 v2
Abstract
We investigate the existence and distribution of Herman rings of transcendental meromorphic functions which have at least one omitted value. If all the poles of such a function are multiple then it has no Herman ring. Herman rings of period one or two do not exist. Functions with a single pole or with at least two poles one of which is an omitted value have no Herman ring. Every doubly connected periodic Fatou component is a Herman ring.
Cite
@article{arxiv.1211.0600,
title = {Herman rings of meromorphic maps with an omitted value},
author = {Tarakanta Nayak},
journal= {arXiv preprint arXiv:1211.0600},
year = {2015}
}
Comments
12 pages