English

A density result concerning inverse polynomial images

Complex Variables 2013-06-26 v1

Abstract

In this paper, we consider polynomials of degree nn, for which the inverse image of [1,1][-1,1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an O(1/n){\cal O}(1/n)-net in the complex plane.

Keywords

Cite

@article{arxiv.1306.5875,
  title  = {A density result concerning inverse polynomial images},
  author = {Klaus Schiefermayr},
  journal= {arXiv preprint arXiv:1306.5875},
  year   = {2013}
}
R2 v1 2026-06-22T00:39:49.252Z