Author:   Dimitar K. Dimitrov
Title:    A Refinement of the Gauss-Lucas Theorem
Journal:  Proc. Amer. Math. Soc. 126(1998), 2065-2070.

The classical Gauss - Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull X of the zeros of p. It is proved that, actually, a subdomain of X contains the critical points of p.

Keywords: Nontrivial critical point of a polynomial.