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SUMMARY:Maria Angeles Hernandez Cifre (Universidad de Murcia\, Spain)
DTSTART:20210518T143000Z
DTEND:20210518T153000Z
DTSTAMP:20260423T021244Z
UID:OAGAS/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/65/">O
 n the roots of polynomials with log-convex coefficients</a>\nby Maria Ange
 les Hernandez Cifre (Universidad de Murcia\, Spain) as part of Online asym
 ptotic geometric analysis seminar\n\n\nAbstract\nIn the spirit of the work
  developed for the Steiner polynomial of convex bodies\, we investigate ge
 ometric properties of the roots of a general family of n-th degree polynom
 ials closely related to that of dual Steiner polynomials of star bodies\, 
 deriving\, as a consequence\, further properties for the roots of the latt
 er. We study the structure of the set of roots of such polynomials\, showi
 ng that it is a closed convex cone in the upper half-plane\, which covers 
 its interior when n tends to infinity\, and giving its precise description
  for every natural n\\geq 2. This is a joint work with J. Yepes-Nicolas an
 d M. Tarraga.\n
LOCATION:https://researchseminars.org/talk/OAGAS/65/
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