In the present investigation, we study applications of the theory of differential subordination and superordination, that are connected to Wright’s generalized hypergeometric function. Relevant connections of the results are noted and the new results are also pointed out.

In this paper, making use of the generalized Liu-Srivastava operator, we introduce and study a new subclass ΣP ( α;β; ; λ; k) of meromorphically univalent functions. We obtain the coefficient estimates, distortion bounds, extreme points, radii of meromorphically starlikeness and convexity for functions in the class ΣP (α;β;γ; λ, k): Furthermore we obtain the partial sums for the same.