A Class of Meromorphically Multivalent Functions Involving a Linear Operator

Let Σp denote the class of functions normalized by f( z)=z -p +∞∑ n=1 anzn-p (p∈N={1,2,3,…}),--which are analytic and p-valent in U0={ z:0|z|1} .Making use of a linear operator,which is defined here by means of the Hadamard product(or Convolution),we introduce and investigate a new subclass Σl,m p,k (α1 ;β1;h) of Σp.Some interesting properties such as inclusion relationships,c onvolutions for this function class are obtained.The results presented here would provide extensions of these given in earlier works.Several other new results are also obtained.