Roots of complex polynomials and foci of real algebraic curves
Eduardo Casas-Alvero
Universitat de Barcelona, Spain
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Abstract
We give a new proof of results of B. Z. Linfield presenting the roots of the derivative of a complex polynomial as the foci of a certain real algebraic curve in the complex plane .
Cite this article
Eduardo Casas-Alvero, Roots of complex polynomials and foci of real algebraic curves. Enseign. Math. 58 (2012), no. 3/4, pp. 223–248
DOI 10.4171/LEM/58-3-1