Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function

Abstract

Abstract. Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator He m δ,p(α, β, a1, b1)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.