On meromorphically starlike functions of order $\alpha$ and type $\beta$, which satisfy Shah's differential equation

According to M.L. Mogra, T.R. Reddy and O.P. Juneja an analytic in ${\mathbb D_0}=\{z: 0<|z|<1\}$ function $f(z)=\frac{1}{z}+\sum_{n=1}^{\infty}f_n z^{n}$ is said to be meromorphically starlike of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ if $|zf'(z)+f(z)|<\beta|zf'(...

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Bibliographic Details
Main Authors: Yu.S. Trukhan, O.M. Mulyava
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2018-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1459