On asymptotic Gauss-Lucas theorem

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.

4 pages, 2 figures

References in corpus (1)

• Strengthening the Gauss-Lucas theorem for polynomials with Zeros in the interior of the convex hull

Cited by in corpus (1)

• On approximate Gauss-Lucas theorems