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

نویسندگان
Hadi, Sarem Hazim ID 1
Darus, Maslina ID 2

1 Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq

2 Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia

doi
10.22075/ijnaa.2022.27487.3618
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