Siebeck curves and two refinements of the

Eduardo Casas-Alvero

Abstract


We prove two results which improve the well known Gauss-Lucas theorem by locating the roots of the derivative of a complex polynomial $f$ in sets smaller than the convex hull of the roots of $f$.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15211

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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