On certain properties for new subclass of meromorphic starlike functions

‎In this paper we studying some properties of starlike function of order \lambda which satisfy in the condition‎‎\Re(\frac{zf^{'}(z)}{f(z)}+\alpha\frac{z^{۲}f^{''}(z)}{f(z)})<۱-\lambda+\alpha‎‎\\for all z\in U=\{z:|z|<۱\}‎, ‎where f(z)=۱+\sum_{k=۱}^\infty a_{k}z^{k} is analytic in U‎, ‎۰\leqslant\alpha<۲ and ۰\leqslant\lambda<۱‎. ‎Our results extend previos results given by Aghalary et al.‎ ‎(۲۰۰۹) and Wang et al.(۲۰۱۴).

Keywords:

‎Starlike function‎ , ‎Meromorphic function‎ , ‎Hadamard product‎ , ‎Analytic function‎