On the spherical derivative of a rational function
Dynamical Systems
2015-12-18 v1 Complex Variables
Abstract
For a rational function f we consider the norm of the derivative with respect to the spherical metric and denote by K(f) the supremum of this norm. We give estimates of this quantity K(f) both for an individual function and for sequences of iterates.
Cite
@article{arxiv.1207.5214,
title = {On the spherical derivative of a rational function},
author = {Matthew Barrett and Alexandre Eremenko},
journal= {arXiv preprint arXiv:1207.5214},
year = {2015}
}
Comments
11 pages