Some Applications of Mittag-Leffler Function in the Unit Disk

Abstract

The importance of Mitttag-Leffler function due to its involvement in many problems in natural and applied science. In this paper we introduce an operator associated with generalized Mittag-Leffler function in the unit disk U={z:|z|<1}. By using this operator and the virtue of differential subordination, we obtain interesting results. Some applications of our results are also obtained.