Siebeck curves and two refinements of the Gauss-Lucas theorem

• Autores: Eduardo Casas Alvero
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 1, 2012, págs. 12-41
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15211
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• Resumen

  • 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.