A unified presentation of some classes of meromorphically multivalent functions

The authors introduce and investigate various properties of a general class Uk[p,a,β,A,B] p, k ε N {1, 2, 3,…,}; 0 α < p; β 0; −1 A < B 1; 0 < B 1), which unifies and extends several (known or new) subclasses of meromorphically multivalent functions. The properties and characteristics of this general class, which are presented here, include growth and distortion theorems; they also involve Hadamard products (or convolution) of functions belonging to the class Uk[p,α,β,A,B].