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A refinement of the gauss-lucas theorem

Journal article published in 1998 by Dimitar K. Dimitrov ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

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 H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.