ZALCMAN CONJECTURE FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY S ˘ AL ˘ AGEAN OPERATOR

ZALCMAN CONJECTURE FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY S ˘ AL ˘ AGEAN OPERATOR

The aim of this investigation is to give a new subclass of analytic functionsdefined by S˘al˘agean differential operator and find upper bound of Zalcman functionala2− a2n−1for functions belonging to this subclass for n = 3.n

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  • Department of Mathematics, Faculty of Science, Atat¨urk University, 25240 Erzurum, Turkey
  • Email address: horhan@atauni.edu.tr Department of Mathematics, Faculty of Science, A˘grı ˙Ibrah˙Im C¸ ec¸en University, 04100 A˘grı, Turkey