On a dual to the properties of Hurwitz polynomials I
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | VERGARA-HERMOSILLA, Gastón | |
dc.date.accessioned | 2024-04-04T02:53:29Z | |
dc.date.available | 2024-04-04T02:53:29Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192178 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.title.en | On a dual to the properties of Hurwitz polynomials I | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math] | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-02519924 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02519924v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=VERGARA-HERMOSILLA,%20Gast%C3%B3n&rft.genre=preprint |
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