SOME CLASSES OF MEROMORPHIC MULTIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING CERTAIN LINEAR OPERATOR

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses Da,c, [p,,A,B ] and P p,a,c, [, ] of meromorphically multivalent functions. In this paper, we obtain coecient estimates, distortion theorems, radii of starlikeness and convexity and closure theorems for the class Da,c, [p,,A,B ]. Several interesting results involving the Hadamard product of functions belonging to the class Da,c, [p,,A,B ], P p,a,c, [, ] and P p [, ] are also derived. Also integral transforms of functions in the classes P p,a,c, [, ] and P p [, ] are studied.