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dc.contributor.authorHaliloğlu, Engintr_TR
dc.date.accessioned2015-01-15T23:00:50Z
dc.date.available2015-01-15T23:00:50Z
dc.date.issued2007-02
dc.identifier.citationHaliloglu, 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.issn0013-0915
dc.identifier.issn1464-3839
dc.identifier.otherWOS:000244663600011
dc.identifier.urihttp://hdl.handle.net/11729/263
dc.identifier.urihttp://dx.doi.org/10.1017/S0013091504000574
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.language.isoenen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionof10.1017/S0013091504000574
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.sourceProceedings of the edinburgh mathematical societyen_US
dc.subjectFaber polynomialsen_US
dc.subjectFaber coefficientsen_US
dc.subjectJacobi elliptic sine functionen_US
dc.titleBounds for certain linear combinations of the Faber coefficients of functions analytic in an ellipseen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.contributor.departmentIsik University, Faculty of Economics and Administrative Sciences, Department of Managementen_US
dc.contributor.departmentIşık Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümütr_TR
dc.contributor.authorIDTR1062
dc.identifier.volume50
dc.identifier.issue1
dc.identifier.startpage163
dc.identifier.endpage171
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US


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