Bounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipse

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dc.contributor.authorHaliloğlu, Enginen_US
dc.date.accessioned2015-01-15T23:00:50Z
dc.date.available2015-01-15T23:00:50Z
dc.date.issued2007-02
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 S? be a bounded, simply connected domain in C with 0 is an element of Omega and partial derivative Omega 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)}(n=0)(infinity) 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 [GRAPHICS] in terms of the Faber polynomials. Let where r > 1. In this paper, we obtain sharp bounds for certain linear combinations of the Faber coefficients of functions F(z) in S(E(r)) and in certain related classes.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHaliloğlu, E. (2007). Bounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipse. Proceedings of the Edinburgh Mathematical Society, 50(1), 163-171. doi:10.1017/S0013091504000574en_US
dc.identifier.doi10.1017/S0013091504000574
dc.identifier.endpage171
dc.identifier.issn0013-0915
dc.identifier.issn1464-3839
dc.identifier.issue1
dc.identifier.scopus2-s2.0-34249727660
dc.identifier.scopusqualityQ1
dc.identifier.startpage163
dc.identifier.urihttps://hdl.handle.net/11729/263
dc.identifier.urihttp://dx.doi.org/10.1017/S0013091504000574
dc.identifier.volume50
dc.identifier.wosWOS:000244663600011
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.publisherCambridge University Pressen_US
dc.relation.ispartofProceedings of the Edinburgh Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFaber polynomialsen_US
dc.subjectFaber coefficientsen_US
dc.subjectJacobi elliptic sine functionen_US
dc.subjectInequalityen_US
dc.subjectUnivalent functionsen_US
dc.subjectCoefficienten_US
dc.titleBounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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