On Certain Subclasses of Meromorphically p-Valent Functions Associated by the Linear Operator D lambda n

The purpose of this paper is to introduce two novel subclasses sub([Gamma] lambda ) (n, alpha , beta ) and super([Gamma] lambda *) (n, alpha , beta ) of meromorphic p-valent functions by using the linear operator super(D lambda n) . Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically p-valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.