Some subclasses of meromorphically multivalent functions associated with a linear operator

Let Sigma(p) denote the class of functions normalized by f(z) = z(-p) + (infinity)Sigma(n=1) a(n)z(n-p) (p is an element of N := {1,2,3,...}), which are analytic and p-valent in 0 < vertical bar z vertical bar < 1. Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of the meromorphically p-valent function class Sigma(p) and investigate their inclusion relationships and convolution properties. Some integral-preserving properties are also considered. (c) 2007 Elsevier Inc. All rights reserved.