Publication:
Multivalued Sakaguchi functions

dc.contributorFen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer Sciencetr_TR
dc.date.accessioned2018-09-05T13:54:59Z
dc.date.available2018-09-05T13:54:59Z
dc.date.issued2007
dc.description.abstractLet 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.identifier15tr_TR
dc.identifier15tr_TR
dc.identifier15tr_TR
dc.identifier.urihttps://hdl.handle.net/11413/2644
dc.language.isoen_UStr_TR
dc.relationGeneral Mathematicstr_TR
dc.subjectAnalytic functionstr_TR
dc.subjectfractional calculustr_TR
dc.subjectfractional operatortr_TR
dc.subjectsubordinationtr_TR
dc.titleMultivalued Sakaguchi functionstr_TR
dc.typeArticletr_TR
dspace.entity.typePublication
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