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

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.

Bibliographic Details
Main Authors:	Hava Arıkan, Halit Orhan, Murat Çağlar
Format:	Article
Language:	English
Published:	AIMS Press 2020-02-01
Series:	AIMS Mathematics
Subjects:	analytic functions starlike and convex functions sãlãgean differential operator komatu integral operator fekete-szegö inequaility
Online Access:	https://www.aimspress.com/article/10.3934/math.2020118/fulltext.html

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spelling	doaj-a33ea8b7c643447eb9952da9e4e947212020-11-25T02:38:29ZengAIMS PressAIMS Mathematics2473-69882020-02-01531745175610.3934/math.2020118Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operatorHava Arıkan0Halit Orhan1Murat Çağlar21 Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, Turkey1 Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, Turkey2 Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, TurkeyIn 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.https://www.aimspress.com/article/10.3934/math.2020118/fulltext.htmlanalytic functionsstarlike and convex functionssãlãgean differential operatorkomatu integral operatorfekete-szegöinequaility
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hava Arıkan Halit Orhan Murat Çağlar
spellingShingle	Hava Arıkan Halit Orhan Murat Çağlar Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator AIMS Mathematics analytic functions starlike and convex functions sãlãgean differential operator komatu integral operator fekete-szegö inequaility
author_facet	Hava Arıkan Halit Orhan Murat Çağlar
author_sort	Hava Arıkan
title	Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator
title_short	Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator
title_full	Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator
title_fullStr	Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator
title_full_unstemmed	Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator
title_sort	fekete-szegö inequality for a subclass of analytic functions defined by komatu integral operator
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-02-01
description	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.
topic	analytic functions starlike and convex functions sãlãgean differential operator komatu integral operator fekete-szegö inequaility
url	https://www.aimspress.com/article/10.3934/math.2020118/fulltext.html
work_keys_str_mv	AT havaarıkan feketeszegoinequalityforasubclassofanalyticfunctionsdefinedbykomatuintegraloperator AT halitorhan feketeszegoinequalityforasubclassofanalyticfunctionsdefinedbykomatuintegraloperator AT muratcaglar feketeszegoinequalityforasubclassofanalyticfunctionsdefinedbykomatuintegraloperator
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Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator

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