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On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order

Nizami Mustafa
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Nizami Mustafa: Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey

Academic Journal of Applied Mathematical Sciences, 2019, vol. 5, issue 7, 101-113

Abstract: In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.

Keywords: Analytic functions; Bi-univalent functions; Coefficient bounds; Fekete-Szegö problem. (search for similar items in EconPapers)
Date: 2019
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Handle: RePEc:arp:ajoams:2019:p:101-113