On a class of analytic multivalent functions

摘要

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.