Cyclicity and Maximal Multiplicity for Zeros of Families of Analytic Functions

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dc.creatorBrudnyi, Alexander
dc.date2002-05-09
dc.date.accessioned2026-07-07T04:48:23Z
dc.date.available2026-07-07T04:48:23Z
dc.descriptionLet f_λ be a family of holomorphic functions in the unit disk, holomorphic in parameter λ\in U\subset\C^{n}. We estimate the number of zeros of f_λ in a smaller disk via some characteristic of the ideal generated by Taylor coefficients of f_λ. Our estimate is locally sharp and improve the previous estimate obtained by Roytwarf and Yomdin.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0205096
dc.identifierhttp://arxiv.org/abs/math/0205096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64027
dc.subjectComplex Variables
dc.subject30B10; 30C55
dc.titleCyclicity and Maximal Multiplicity for Zeros of Families of Analytic Functions
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