In this paper we discuss the following class of functions
Sλ(α,β)={f(z):|f(z)g(z)−1|<β|λf(z)g(z)+1|,z∈D} where 0≤λ≤1,0<β≤1,0≤α<1,
and f(z)=z+∑n=2∞anzn is analytic in D={z:|z|<1}, g(z) is a starlike function of order α. A
subordination about this class is obtained, the integral means of functions in Sλ(α,β) and some
extremal properties are studied.