A class of meromorphically multivalent functions defined by means of a linear operator

摘要

Let Σp denote the class of functions of the form:f(z)=z-p+∑n=1∞anzn-p(n∈N={1,2,3,…}),which are analytic in the punctured open unit disk 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 a new subclass Mp(a,c,λ;h) of Σp and investigate some properties for the class Mp(a,c,λ;h).