Subclasses of meromorphically multivalent functions defined by a differential operator

In this paper we introduce and study two new subclasses Σ_{λμ mp}(α,β)$and$Σ^{+}_{λμmp}(α,β)$of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation, distortion theorems are obtained. We also extend the familiar concept of$% (n,δ)-$neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions.

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