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FRAGMENTS OF DYNAMIC OF MOEBIOUS MAPPINGS AND SOME APPLICATIONS. PART I

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dc.contributor.authorPavicevic, Z.
dc.contributor.authorSusic, J.
dc.date.accessioned2024-11-21T16:52:04Z
dc.date.available2024-11-21T16:52:04Z
dc.date.issued2019
dc.description.abstractIn this article we prove that a continuous mapping on a simply-connected domain of the extended complex plane, which is normal with respect to the cycle group of all conformal automorphisms of the domain with a fixed attractive point, which belongs to the domain is a constant function. Applying this result we obtain new proofs of the classical Theorem of Liouville and little Picard Theorem for holomorphic, meromorphic and harmonic functions in complex plane. We also prove some results from the dynamic of Mobius mappings.
dc.format.extentС. 31-48
dc.identifier.citationPavicevic, Z. FRAGMENTS OF DYNAMIC OF MOEBIOUS MAPPINGS AND SOME APPLICATIONS. PART I / Pavicevic, Z, Susic, J // MATHEMATICA MONTISNIGRI. - 2019. - 46. - P. 31-48. - 10.20948/mathmontis-2019-46-4
dc.identifier.doi10.20948/mathmontis-2019-46-4
dc.identifier.urihttps://www.doi.org/10.20948/mathmontis-2019-46-4
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000504678200004
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/19232
dc.relation.ispartofMATHEMATICA MONTISNIGRI
dc.titleFRAGMENTS OF DYNAMIC OF MOEBIOUS MAPPINGS AND SOME APPLICATIONS. PART I
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume46
relation.isOrgUnitOfPublicationc8407a6f-7272-450d-8d99-032352c76b55
relation.isOrgUnitOfPublication.latestForDiscoveryc8407a6f-7272-450d-8d99-032352c76b55
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