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dc.contributorFen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer Sciencetr_TR
dc.contributor.authorAydoğan, Seher Melike
dc.contributor.authorKahramaner, Yasemin
dc.contributor.authorPolatoğlu, Yaşar
dc.date.accessioned2019-01-25T13:22:30Z
dc.date.available2019-01-25T13:22:30Z
dc.date.issued2013
dc.identifier7tr_TR
dc.identifier7tr_TR
dc.identifier7tr_TR
dc.identifier.urihttps://hdl.handle.net/11413/4342
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 of convex and starlike functions, respectively. In 1952, W. Kaplan introduced a class of analytic functions f(z), called close-to-convex functions, for which there exists φ(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 classes are 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.tr_TR
dc.language.isoen_UStr_TR
dc.relationApplied Mathematical Sciencestr_TR
dc.subjectStarliketr_TR
dc.subjectconvextr_TR
dc.subjectclose-to-convextr_TR
dc.subjectfractional calculustr_TR
dc.titleClose-to-convex functions defined by fractional operatortr_TR
dc.typeArticletr_TR
dc.contributor.authorID35549tr_TR
dc.contributor.authorID8366tr_TR
dc.contributor.authorID199370tr_TR
dc.identifier.scopus2-s2.0-84877150517


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