
   @article{article_1521845, title={Generalization properties of Bernardi integral operator}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={74}, pages={364–374}, year={2025}, DOI={10.31801/cfsuasmas.1521845}, author={Kamali, Muhammet and Guney, Hatun Özlem and Owa, Shigeyoshi}, keywords={Analytic function, Bernardi integral operator, coefficient problem, argument problem, subordination}, abstract={Let $A\left( n\right)$ be the class of analytic functions $f\left(z\right)$ of the form
\begin{equation*}
f\left( z\right) =z+\sum_{k=n}^{\infty }a_{k}z^{k},\;\;\left(
n=2,3,4,...\right)
\end{equation*}
in the open unit disk $U.$ We introduce the integral operator $B_{j}f\left(
z\right) $$=B\left( B_{j-1}f\left( z\right) \right) $, $B_{1}f\left(
z\right) =Bf\left( z\right)$ and $B_{0}f\left( z\right) =f\left( z\right) $. In the present paper, we define the subclass $M_{j}\left( n,\gamma ,\alpha
\right) $ and discuss some interesting properties of $f\left( z\right) \in
A\left( n\right)$ concerning with the class $M_{j}\left( n,\gamma ,\alpha
\right) .$}, number={3}, publisher={Ankara University}
