On Certain Subclasses of Meromorphically p-Valent Functions Associated by the Linear Operator Dλn

The purpose of this paper is to introduce two novel subclasses Gamma(lambda)(n, alpha, beta) and Gamma(lambda)*(n, alpha, beta) of meromorphic p-valent functions by using the linear operator 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.