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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorVERGARA-HERMOSILLA, Gastón
dc.date.accessioned2024-04-04T02:53:29Z
dc.date.available2024-04-04T02:53:29Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192178
dc.description.abstractEnIn 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.isoen
dc.title.enOn a dual to the properties of Hurwitz polynomials I
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-02519924
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02519924v1
bordeaux.COinSctx_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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