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

Document Type : Research Paper


Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran



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 $\alpha \in [0,1)$.

Articles in Press, Corrected Proof
Available Online from 17 July 2023
  • Receive Date: 05 March 2022
  • Revise Date: 06 June 2022
  • Accept Date: 20 November 2022