On Certain Subclasses of Analytic Multivalent Functions Using Generalized Salagean Operator

Abstract

We introduce and study two subclasses of multivalent functions denoted by ${\mathcal{M}}_{p,n}^{m,\alpha ,\beta ,\sigma }({\lambda }_1;{\lambda }_2)$ and ${\mathcal{N}}_{p,n}^{m,\alpha ,\beta ,\sigma }(\mu ,\delta ;\gamma )$. Further, by using the method of differential subordination, certain inclusion relations between the two subclasses aforementioned are given. Moreover, several consequences of the main results are also discussed.