Differential Subordination and Superordination for a New Differential Operator Containing Mittag-Leffler Function

Suhila Elhaddad, Maslina Darus

Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator $ \widetilde{\mathcal{H}}_{\delta,p}^{m}(\alpha,\beta,a_{1},b_{1})f(z) $ is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator. Additionally, the resultant sandwich-type of this operator is also considered.