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

Hava Arıkan; Halit Orhan; Murat Çağlar; Hava Arıkan; Halit Orhan; Murat Çağlar

doi:10.3934/math.2020118

AIMS Mathematics

2020, Volume 5, Issue 3: 1745-1756. doi: 10.3934/math.2020118

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Research article

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

Received: 21 December 2019 Accepted: 07 February 2020 Published: 14 February 2020
MSC : 30C45, 30C50

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

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Abstract

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.

References

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