@article {
author = {Noor, Khalida Inayat and Shah, Shujaat Ali},
title = {On Certain Generalized Bazilevic type Functions Associated with Conic Regions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {13-23},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.118014.720},
abstract = {Let $f$ and $g$ be analytic in the open unit disc and, for $\alpha ,$ $\beta \geq 0$, let\begin{align*}J\left( \alpha ,\beta ,f,g\right) & =\frac{zf^{\prime }(z)}{f^{1-\alpha}(z)g^{\alpha }(z)}+\beta \left( 1+\frac{zf^{\prime \prime }(z)}{f^{\prime}(z)}\right) -\beta \left( 1-\alpha \right) \frac{zf^{\prime }(z)}{f(z)} \\& \quad -\alpha \beta \frac{zg^{\prime }(z)}{g(z)}\text{.}\end{align*}The main aim of this paper is to study the class of analytic functions which map $J\left( \alpha ,\beta ,f,g\right) $ onto conic regions. Several interesting problems such as arc length, inclusion relationship, rate of growth of coefficient and Growth rate of Hankel determinant will be discussed.},
keywords = {Conic regions,Bazilevic function,Bounded boundary rotation,Hankel determinant,Univalent functions},
url = {https://scma.maragheh.ac.ir/article_44698.html},
eprint = {https://scma.maragheh.ac.ir/article_44698_81ce89f56d44bc7b12a2aa131ad1adeb.pdf}
}