On a class of analytic multivalent functions

We use a property of the Bernardi operator in the theory of the Briot-Bouquet differential subordinations to prove several theorems for the classes Vkp(H;A,B) of multivalent analytic functions defined by using the Dziok-Srivastava operator H. Some of these results we obtain applying the convolution property due to Rusheweyh. We take advantage of the Miller-Mocanu lemma to improve the earlier result.