On certain properties for new subclass of meromorphic starlike functions

In this paper we studying some properties of starlike function of order λ which satisfy in the condition R(zf′(z)f(z)+αz2f′′(z)f(z))<1−λ+α or all z∈U={z:|z|<1}, where f(z)=1+∑∞k=1akzk is analytic in U, 0⩽α<2 and 0⩽λ<1. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014).