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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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https://hal.archives-ouvertes.fr/hal-02519924
Contributor : Gaston Vergara Hermosilla <>
Submitted on : Thursday, March 26, 2020 - 12:49:31 PM
Last modification on : Saturday, March 28, 2020 - 2:03:16 AM

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  • HAL Id : hal-02519924, version 1

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

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