English

On the lemniscate components containing no critical points of a polynomial except for its zeros

Complex Variables 2012-04-09 v1

Abstract

We prove a sharp inequality for the modulus of the logarithmic derivative of a polynomial in the lemniscate components containing no critical points.

Keywords

Cite

@article{arxiv.1204.1404,
  title  = {On the lemniscate components containing no critical points of a polynomial except for its zeros},
  author = {V. N. Dubinin},
  journal= {arXiv preprint arXiv:1204.1404},
  year   = {2012}
}