PROPERTIES OF SOME FAMILIES OF MEROMORPHIC MULTIVALENT FUNCTIONS 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 Omega(a,c)(p, A, B, lambda) and Omega(+)(a,c)(p, A, B, lambda) of meromorphically multivalent functions. The main object of this paper is to investigate the various important properties and characteristics of those 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 results for the Hadamard products of functions belonging to the class Omega(+)(a,c)(p, alpha, beta, gamma, lambda).