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On a dual to the properties of Hurwitz polynomials I

Abstract : In this paper we develop necessary and sufficient conditions for describe the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla et al. in [9]. 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.
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Contributor : Gaston Vergara Hermosilla <>
Submitted on : Thursday, March 26, 2020 - 12:49:31 PM
Last modification on : Tuesday, June 9, 2020 - 3:32:18 AM
Long-term archiving on: : Saturday, June 27, 2020 - 2:29:22 PM


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  • HAL Id : hal-02519924, version 1


Gastón Vergara-Hermosilla. On a dual to the properties of Hurwitz polynomials I. 2020. ⟨hal-02519924v1⟩



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