Subordination and superordination properties of multivalent functions defined by certain integral operator

On sandwich theorems for multivalent functions involving a generalized differential operator

“…Putting n = 0, λ = p l+m+p−1 and g(z) of the form (1.6) with l, m > 0 in the above results, we obtain the same results of Aouf and Bulboacă [25].…”

Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions

“…First, Miller and Mocanu [18] in 1978 introduced the method of di¤erential subordinations and then in recent years several authors obtained several applications in the geometric functions theory by using di¤erential subordination, see for example [5,7,8,9,12,13,15,20].…”

Third-order differential sandwich-type results involving the Liu-Owa integral operator

“…In 2004, Liu and Owa [22] (see also [8][9][10][11][12][13]31] We note that (i) for p = 1, Q α β,1 = Q α β , which was called Jung-Kim-Srivastava integral operator (see [19]; also see [7,18]); (ii) for α = 1 and β = δ, Q 1 δ,p = J δ,p (δ > −p), which was called the generalized Libera operator and presented as follows (see [14,25]; see also [21])…”