Let A_p denote the class of analytic and p-valent functions in the open unit disc U={z:|z|<1}. Put and define in terms of the Hadmard product (or convolution) In this paper, we introduce certain new subclasses of spiral-like multivalent functions defined by using the operator and investigate several inclusion properties of these classes. Also, some applications involving integral operator are considered.

In the present paper, we introduce a new subclass S p,q,s,λm,l(γ, θ) of θ-spiral functions of order γ defined by a class of generalized multiplier transformations. Majorization properties for functions belonging to the class S p,q,s,λm,l(γ, θ) are considered. Moreover, we point out some new or known consequences of our main result.

In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by the Salagean operator. Moreover, we point out some new and interesting consequences of our main result.

In this paper, some classes of Janowski type p-harmonic functions associated with the generalized Sǎlǎgean operator are introduced. Further, coefficient conditions, distortion estimates and the other properties of the classes are obtained. On the one hand, the results presented here generalize the results of Yașar and Yalçin ^[8]. On the other hand, we obtain some new results on sufficient convolution condition of the classes.