@article {
author = {Naraghi, Hossein and Najmadi, Parvaneh and Taherkhani, Bahman},
title = {New subclass of analytic functions defined by subordination},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {12},
number = {1},
pages = {847-855},
year = {2021},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2018.13582.1706},
abstract = {By using the subordination relation $"\prec"$, we introduce an interesting subclass of analytic functions as follows:\begin{equation*}\mathcal{S}^*_{\alpha}:=\left\{f\in \mathcal{A}:\frac{zf'(z)}{f(z)}\prec \frac{1}{(1-z)^\alpha},\ \ |z|<1\right\},\end{equation*}where $0<\alpha\leq1$ and $\mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. In the present paper, by the class $\mathcal{S}^*_{\alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $\mathcal{S}^*_{\alpha}$ are obtained.},
keywords = {univalent,subordination,Starlike functions,coefficients estimates,logarithmic coefficients,Nunokawa's lemma},
url = {https://ijnaa.semnan.ac.ir/article_4940.html},
eprint = {https://ijnaa.semnan.ac.ir/article_4940_a768d0ff6e35a2d3a84f5ec180873130.pdf}
}