On asymptotic Gauss-Lucas theorem
Classical Analysis and ODEs
2015-10-09 v1
Abstract
In this note we extend the Gauss-Lucas theorem on the zeros of the derivative of a univariate polynomial to the case of sequences of univariate polynomials whose almost all zeros lie in a given convex bounded domain in C.
Cite
@article{arxiv.1510.02339,
title = {On asymptotic Gauss-Lucas theorem},
author = {R. Boegvad and D. Khavinson and B. Shapiro},
journal= {arXiv preprint arXiv:1510.02339},
year = {2015}
}
Comments
4 pages, 2 figures