Abstract
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses Omega(p,q,s)(alpha(1); A, B, lambda) and Omega(+)(p,q,s)(alpha(1); A, B, lambda) of meromorphically multivalent functions of order lambda (0 <= lambda < p) in the punctured disc U*. In this paper we investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. We also derive many interesting results for the Hadamard products of functions belonging to the class Omega(+)(p,q,s)(alpha(1); A, B, lambda). (C) 2009 Elsevier Ltd. All rights reserved.