Differential subordination and superordination of a $q$-derivative operator connected with the $q$-exponential function

	Differential subordination and superordination of a $q$-derivative operator connected with the $q$-exponential function
International Journal of Nonlinear Analysis and Applications
مقاله 225، دوره 13، شماره 2، مهر 2022، صفحه 2795-2806 اصل مقاله (439.02 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27487.3618
نویسندگان
Sarem Hazim Hadi^* ¹^{، 2}؛ Maslina Darus²
¹Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
²Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
چکیده
In this article, we define a $q$-derivative operator of univalent functions associated with the $q$-exponential function. Moreover, we introduce differential subordination and differential superordination for the subordination class defined by this operator. Sandwich-type theorems of several known results also are derived by applying these results.
کلیدواژه‌ها
$q$-exponential function؛ $q$-derivative Operator؛ best dominant؛ best subordination؛ and sandwich-type theorems
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