dc.contributor Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer Science tr_TR dc.date.accessioned 2018-09-05T13:54:59Z dc.date.available 2018-09-05T13:54:59Z dc.date.issued 2007 dc.identifier 15 tr_TR dc.identifier 15 tr_TR dc.identifier 15 tr_TR dc.identifier.uri https://hdl.handle.net/11413/2644 dc.description.abstract Let A be the class of functions f(z) of the form f(z) = z +a2z2 + ··· which are analytic in the open unit disc U = {z ∈ C||z| < 1}. In 1959 [5], K. Sakaguchi has considered the subclass of A consisting of those f(z) which satisfy Re zf (z) f(z)−f(−z) > 0, where z ∈ U. We call such a functions “Sakaguchi Functions”. Various authors have investigated this class ([4], [5], [6]). Now we consider the class of functions of the form f(z) = zα(z +a2z2 +···+anzn +···) (0 <α< 1), that are analytic and multivalued in U, we denote the class of these functions by Aα, and we consider the subclass of Aα consisting of those f(z) which satisfy Re zDα z f(z) Dα z f(z)−Dα z f(−z) > 0 (z ∈ U), where Dα z f(z) is the fractional derivative of order α of f(z). We call such a functions “Multivalued Sakaguchi Functions” and denote the class of those functions by Sα s . The aim of this paper is to investigate some properties of the class Sα s . 2000 Mathematical Subject Classification: Primary 30C45. dc.language.iso en_US tr_TR dc.relation General Mathematics tr_TR dc.subject Analytic functions tr_TR dc.subject fractional calculus tr_TR dc.subject fractional operator tr_TR dc.subject subordination tr_TR dc.title Multivalued Sakaguchi functions tr_TR dc.type Article tr_TR
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