We use a property of the Bernardi operator in the theory of the Briot–Bouquet differential subordinations to prove several theorems for the classes VpkðH;A;BÞ 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 re...

Necessary and sufficient coefficient bounds and convolution condition for certain multivalent harmonic functions whose convolution with generalized hypergeometric functions is starlike of order γ are investigated. Results on extreme points, convex combination and distortion bounds using the coefficient condition are also obtained. 2010 Mathematics Subject Classification: 30C45, 30C50

The object of the present paper is to investigate some subordination properties of multivalent analytic functions which are defined here by using the DziokSrivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also discussed.