Certain subclasses of meromorphically -starlike functions associated with the -derivative operators

UDC 517.5 The purpose of the present paper is to establish several general results concerning the partial sums of meromorphically starlike functions defined here by means of a certain class of -derivative (or -difference) operators. The familiar concept of neighborhood for meromorphic functions are also considered. Moreover, by using a Ruscheweyh-type -derivative operator, we define and study another new class of functions emerging from the class of normalized meromorphic functions.