Cluster points and asymptotic values of planar harmonic functions

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dc.creatorNeumann, Genevra
dc.date2005-08-31
dc.date.accessioned2026-07-07T05:22:49Z
dc.date.available2026-07-07T05:22:49Z
dc.descriptionA sufficient condition for a cluster point of a planar harmonic function to be an asymptotic value is given, based on a partitioning into regions of constant valence. A sufficient condition for the cluster set of a planar harmonic function to have non-empty interior is given. An example is given of a planar harmonic function where the image of the critical set is not closed and such that the cluster set has non-empty interior and is a proper subset of the image.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0508624
dc.identifierhttp://arxiv.org/abs/math/0508624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76207
dc.subjectComplex Variables
dc.subject30C99, 26B99
dc.titleCluster points and asymptotic values of planar harmonic functions
dc.typetext

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