Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination

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dc.authorid0000-0002-9277-8092en_US
dc.authorid0000-0002-3884-3957en_US
dc.authorid0000-0002-3010-7795en_US
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorSakar, Fethiye Müge
dc.contributor.authorGüney, Hatun Özlem
dc.date.accessioned2023-10-20T06:10:29Z
dc.date.available2023-10-20T06:10:29Z
dc.date.issued2018en_US
dc.departmentDicle Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümüen_US
dc.description.abstractIn the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f (z)z, f′ (z) and z f′′ (z) for a function belonging to the normalized univalent function class S. By applying the technique involving the Faber polynomials, we determine estimates for the general Taylor-Maclaurin coefficient of functions belonging to the analytic and bi-univalent function class which we have introduced here. We also demonstrate the not-too-obvious behaviour of the first two Taylor-Maclaurin coefficients of such functions.en_US
dc.identifier.citationSrivastava, H.M., Sakar, F. M. ve Güney, H. Ö. (2018). Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination. Filomat, 32(4), 1313-1322.en_US
dc.identifier.doi10.2298/FIL1804313S
dc.identifier.endpage1322en_US
dc.identifier.issn0354-5180
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85052292103
dc.identifier.scopusqualityQ3
dc.identifier.startpage1313en_US
dc.identifier.urihttps://doiserbia.nb.rs/img/doi/0354-5180/2018/0354-51801804313S.pdf
dc.identifier.urihttps://hdl.handle.net/11468/12887
dc.identifier.volume32en_US
dc.identifier.wosWOS:000444106200016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorSakar, Fethiye Müge
dc.institutionauthorGüney, Hatun Özlem
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic functionsen_US
dc.subjectBi-Univalent functionsen_US
dc.subjectCarathéodory Lemmaen_US
dc.subjectFaber polynomialsen_US
dc.subjectLinear combinationen_US
dc.subjectTaylor-Maclaurin coefficientsen_US
dc.subjectUnivalent functionsen_US
dc.titleSome general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combinationen_US
dc.titleSome general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
dc.typeArticleen_US

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