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

Year 2018, Volume: 1 Issue: 1, 1 - 4, 01.01.2018

Evrim Toklu

Abstract

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

Keywords

Univalent function , bi-univalent function , Coefficient bounds

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• Department of Mathematics, Faculty of Science, Atat¨urk University, 25240 Erzurum, Turkey
• Email address: [e-mail] Department of Mathematics, Faculty of Science, A˘grı ˙Ibrah˙Im C¸ ec¸en University, 04100 A˘grı, Turkey