Further results for a subclass of univalent functions related with differential equation. (arXiv:1901.02408v1 [math.CV])
Peng and Zhong (Acta Math Sci {\bf37B(1)}:69--78, 2017) introduced and
studied a new subclass of analytic functions as follows: \begin{equation*}
\Omega:=\left\{f\in \mathcal{A}:\left|zf'(z)-f(z)\right|<\frac{1}{2}, z\in
\Delta\right\}, \end{equation*} where $\mathcal{A}$ is the class of analytic
and normalized functions and $\Delta$ is the open unit disc on the complex
plane. The class $\Omega$ is a subclass of the starlike univalent functions. In
this paper, we obtain some new results for the class $\Omega$ and improve some
results that earlier obtained by Peng and Zhong.查看全文