Strong uniqueness polynomials: the complex case
Complex Variables
2020-04-23 v1
Abstract
The theory of strong uniqueness polynomials, satisfying the separation condition (first introduced by Fujimoto \cite{Fuj1}), for complex meromorphic functions is quite complete. We construct examples of strong uniqueness polynomials which do not necessary satisfy the separation condition by constructing regular 1-forms of Wronskian type, a method introduced in \cite{AWW}. We also use this method to produce a much easier proof in establishing the necessary and sufficient conditions for a polynomial, satisfying the separation condition, to be a strong uniqueness polynomials for meromorphic functions and rational functions.
Cite
@article{arxiv.2004.10609,
title = {Strong uniqueness polynomials: the complex case},
author = {Ta Thi Hoai An and Julie T-Y Wang and Pit-Mann Wong},
journal= {arXiv preprint arXiv:2004.10609},
year = {2020}
}