On Certain Class of Non-Bazilevič Functions of Order α+iβ Defined by a Differential Subordination

Abstract

We introduce a new subclass $N_n(\lambda ,\alpha ,\beta ,A,B)$ of Non-Bazilevič functions of order $\alpha +i\beta$. Some subordination relations and inequality properties are discussed. The results obtained generalize the related work of some authors. In addition, some other new results are also obtained.