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

The purpose of this paper is to introduce two novel subclasses and of meromorphic valent functions by using the linear operator . Then we prove the necessary and sufficient conditions for a function 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 valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.