A new subclass of analytic functions and some results related to Booth lemniscate

In this paper, we introduce the subclass \mathcal{K}\mathcal{S}(\alpha) of univalent functions in \mathcal{A} and study some properties of this class. We apply matters of differential subordinations, to investigate some results concerning the subclasses \mathcal{K}\mathcal{S}(\alpha) and \mathcal{B}\mathcal{S}(\alpha) of \mathcal{A}, where \alpha \in [۰,۱).

کلیدواژه ها:

Starlike functions ، Convex functions ، Differential subordination ، Booth lemniscate