On a subclass of strongly starlike functions

Let S∗(qc)S∗(qc), c∈(0,1]c∈(0,1], denote the class of analytic functions ff in the unit disc UU normalized by f(0)=f′(0)−1=0f(0)=f′(0)−1=0 and satisfying the condition |[zf′(z)/f(z)]2−1|∣