AIMS Mathematics, 2020, 5(3): 1745-1756. doi: 10.3934/math.2020118.

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Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator

1 Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, Turkey
2 Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, Turkey

In this paper, we introduce and study a new subclass of analytic functions defined by $\mathcal{D}^{k}\mathcal{L} _{a}^{\delta }f(z)$ differential operator in the unit disk. For this subclass, the Fekete-Szegö type coefficient inequalities are derived.
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Keywords analytic functions; starlike and convex functions; Sãlãgean differential operator; Komatu integral operator; Fekete-Szegö; inequaility

Citation: Hava Arıkan, Halit Orhan, Murat Çağlar. Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator. AIMS Mathematics, 2020, 5(3): 1745-1756. doi: 10.3934/math.2020118

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