We introduce a subclass Mp(λ, μ,A,B) of p-valent analytic functions and derive certain properties of functions belonging to this class by using the techniques of Briot-Bouquet differential subordination. Further, the integral preserving properties of Bazilevic functions in a sector are also considered.

By using a method based upon the Briot-Bouquet differential subordination, we investigate some subordination properties of the generalized fractional integral operator , , 0,z       p    which was defined by Owa, Saigo and Srivastava [1]. Some interesting further consequences are also considered.

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...

In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using product relations determine necessary sufficient conditions for to belong these classes, our results generalized many previous obtained different authors. We obtain inclusion new subclasses the Dziok-Srivatava operator. Moreover, result c...