AN APPLICATION OF DIFFERENTIAL SUBORDINATIONS TO THE CLASS OF CERTAIN ANALYTIC FUNCTIONS

For functions belonging to the generalization class $\mathcal{R}_{p}(k,\alpha ,\lambda )$ of analytic functions in the open unit disc $\mathbb{U}=\{z:\,\left| z\right| <1\}$, which investigated in this paper, some applications of differential subordination are obtained which contain interesting property of Hurwitz-Lerch Zeta function.