%0 Journal Article
%T On a Dual to the Properties of Hurwitz Polynomials I
%A Gast¨Žn Vergara-Hermosilla
%J American Journal of Computational Mathematics
%P 31-41
%@ 2161-1211
%D 2021
%I Scientific Research Publishing
%R 10.4236/ajcm.2021.111003
%X In this work we develop necessary and sufficient conditions for describing the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla <em>et al</em>. in [1]. Specifically, we studied a dual version of the Theorem of Routh-Hurwitz and present explicit criteria for polynomials of low order and derivatives. Another contribution of this work is establishing a dual version of the Hermite-Biehler Theorem. To this aim, we give extensions of the boundary crossing Theorems and a zero exclusion principle for anti-Hurwitz polynomials.
%K Hurwitz Polynomials
%K Anti-Hurwitz Polynomials
%K Hermite-Biehler Theo-rem
%K Exclusion Principle
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=107785