MMN-2457
On a class of univalent functions defined by Salagean integro-differential operator
Á. O. Páll-Szabó;Abstract
In this paper we consider the $\mathscr{L}^{n}:\mathcal{A} \rightarrow \mathcal{A}$, \\
$\mathscr{L}^{n}f\left(z\right)=\left(1-\lambda\right)\mathscr{D}^{n}f\left(z\right)+\lambda I^{n}f\left(z\right)$ linear operator, where $\mathscr{D}^{n}$ is the S\v{a}l\v{a}gean differential operator and $I^{n}$ is the S\v{a}l\v{a}gean integral operator.
We study several differential subordinations generated by $\mathscr{L}^{n}$.
We introduce a class of holomorphic functions $L_n^m\left(\beta\right)$, and obtain some subordination results.
Vol. 19 (2018), No. 2, pp. 1095-1106