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Value regions of univalent self-maps with two boundary fixed points

dc.contributor.authorGumenyuk, Pavel
dc.contributor.authorProkhorov, Dmitri
dc.date.accessioned2018-06-21T12:44:27Z
dc.date.available2018-06-21T12:44:27Z
dc.date.created2018-03-27T00:25:26Z
dc.date.issued2018
dc.identifier.citationGumenyuk, P., Prokhorov, D. (2018) Value regions of univalent self-maps with two boundary fixed points. Annales Academiae Scientiarum Fennicae Mathematica, 43(1), pp. 451-462.nb_NO
dc.identifier.issn1239-629X
dc.identifier.urihttp://hdl.handle.net/11250/2502528
dc.description.abstractIn this paper we find the exact value region V(z0,T) of the point evaluation functional f → f(z0) over the class of all holomorphic injective self-maps f : D → D of the unit disk D having a boundary regular fixed point at σ = –1 with f'(–1) = eT and the Denjoy–Wolff point at τ = 1.nb_NO
dc.language.isoengnb_NO
dc.publisherAcademia Scientiarum Fennicanb_NO
dc.relation.urihttp://www.acadsci.fi/mathematica/Vol43/GumenyukProkhorov.html
dc.subjectunivalent functionnb_NO
dc.subjectvalue regionnb_NO
dc.subjectextremal problemnb_NO
dc.subjectDenjoy–Wolff pointnb_NO
dc.subjectangular derivativenb_NO
dc.subjectholomorphic self-mapnb_NO
dc.titleValue regions of univalent self-maps with two boundary fixed pointsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.rights.holderCopyright © 2018 by Academia Scientiarum Fennicanb_NO
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410nb_NO
dc.source.pagenumber451-462nb_NO
dc.source.volume43nb_NO
dc.source.journalAnnales Academiae Scientiarum Fennicae Mathematicanb_NO
dc.source.issue1nb_NO
dc.identifier.doi10.5186/aasfm.2018.4321
dc.identifier.cristin1575852
cristin.unitcode217,8,2,0
cristin.unitnameInstitutt for matematikk og naturvitenskap
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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