Close-to-convex functions defined by fractional operator

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dc.authorid0000-0002-4822-9571
dc.authorid0000-0002-0782-2029
dc.contributor.authorAydoğan, Seher Melikeen_US
dc.contributor.authorKahramaner, Yaseminen_US
dc.contributor.authorPolatoğlu, Yaşaren_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:04:57Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:04:57Z
dc.date.issued2013
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractLet S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ C||z|<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. In 1952, W. Kaplan introduced a class of analyticfunctions f(z), called close-to-convex functions, for which there existsφ(Z) ∈ C, depending on f(z) with Re( f′(z)/φ′(z) ) > 0 in , and prove that every close-to-convex function is univalent. The normalized class of close-to-convex functions denoted by K. These classesare related by the proper inclusions C ⊂ S* ⊂ K ⊂ S. In this paper, we generalize the close-to-convex functions and denote K(λ) the class of such functions. Various properties of this class of functions is alos studied.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAydoğan, S. M., Kahramaner, Y. & Polatoğlu, Y. (2013). Close-to-convex functions defined by fractional operator. Applied Mathematical Sciences, 7(53-56), 2769-2775. doi:10.12988/ams.2013.13246en_US
dc.identifier.doi10.12988/ams.2013.13246
dc.identifier.endpage2775
dc.identifier.issn1312-885X
dc.identifier.issue53-56
dc.identifier.scopus2-s2.0-84877150517
dc.identifier.scopusqualityN/A
dc.identifier.startpage2769
dc.identifier.urihttps://hdl.handle.net/11729/1920
dc.identifier.urihttps://dx.doi.org/10.12988/ams.2013.13246
dc.identifier.volume7
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAydoğan, Seher Melikeen_US
dc.institutionauthorid0000-0002-4822-9571
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.ispartofApplied Mathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic functionen_US
dc.subjectClose-to-convexen_US
dc.subjectConvexen_US
dc.subjectFractional calculusen_US
dc.subjectMultivalent functionsen_US
dc.subjectStarlikeen_US
dc.subjectSubordinationen_US
dc.titleClose-to-convex functions defined by fractional operatoren_US
dc.typeArticleen_US
dspace.entity.typePublication

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