On a Dual to the Properties of Hurwitz Polynomials I

In this work we develop necessary and sufficient conditions for describing the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla et al. in [1]. Specifically, studied a dual version Theorem Routh-Hurwitz present explicit criteria polynomials low order derivatives. Another contribution is establishing Hermite-Biehler Theorem. To aim, give extensions boundary crossing Theorems zero exclusion principle polynomials.