Bounds for the faber coefficients of certain classes of functions analytic in an ellipse

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dc.contributor.authorHaliloğlu, Enginen_US
dc.contributor.authorJohnston, Elgin H.en_US
dc.date.accessioned2015-01-15T23:00:21Z
dc.date.available2015-01-15T23:00:21Z
dc.date.issued2005
dc.departmentIşık Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümüen_US
dc.departmentIşık University, Faculty of Economics and Administrative Sciences, Department of Managementen_US
dc.description.abstractLet Omega be a bounded, simply connected domain in C with 0 is an element of Omega and aOmega analytic. Let S(Omega) denote the class of functions F(z) which are analytic and univalent in Omega with F(0) = 0 and F'(0) = 1. Let {Phi(n)(z)} infinity n=0 be the Faber polynomials associated with Omega. If F(z) is an element of S(Omega), then F(z) can be expanded in a series of the form where r > 1. In this paper we obtain sharp bounds for the Faber coefficients A(0), A(1) and A(2) of functions F(z) in S(E-r) and in certain related classes.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHaliloglu, E. & Johnston, E. H. (2005). Bounds for the faber coefficients of certain classes of functions analytic in an ellipse. Rocky Mountain Journal of Mathematics, 35(1), 167-179. doi:10.1216/rmjm/1181069774en_US
dc.identifier.doi10.1216/rmjm/1181069774
dc.identifier.endpage179
dc.identifier.issn0035-7596
dc.identifier.issue1
dc.identifier.scopus2-s2.0-13844266753
dc.identifier.scopusqualityQ2
dc.identifier.startpage167
dc.identifier.urihttps://hdl.handle.net/11729/196
dc.identifier.urihttp://dx.doi.org/10.1216/rmjm/1181069774
dc.identifier.volume35
dc.identifier.wosWOS:000227004400010
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorHaliloğlu, Enginen_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFaber polynomialsen_US
dc.subjectFaber coefficientsen_US
dc.subjectJacobi ellipticen_US
dc.subjectSine functionen_US
dc.titleBounds for the faber coefficients of certain classes of functions analytic in an ellipseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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