A Jensen Inequality for a Family of Analytic Functions

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dc.creatorBrudnyi, Alex
dc.date2001-11-30
dc.date.accessioned2026-07-07T04:44:55Z
dc.date.available2026-07-07T04:44:55Z
dc.descriptionWe improve an estimate (obtained in "A.Brudnyi, Small amplitude limit cycles and the distribution of zeros of families of analytic functions, Ann. of Math. 154 (2) (2001), 227-243") for the average number of limit cycles of a planar polynomial vector field situated in a neighbourhood of the origin provided that the field in a larger neighbourhood is close enough to a linear center. The result follows from a new distributional inequality for the number of zeros of a family of univariate holomorphic functions depending holomorphically on a parameter.
dc.identifierhttps://arxiv.org/abs/math/0112002
dc.identifierhttp://arxiv.org/abs/math/0112002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62786
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject34C07;46E15
dc.titleA Jensen Inequality for a Family of Analytic Functions
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