Abstract: Let Gα ,β (γ ,δ ) denote the class of function
f (z), f (0) = f ′(0)−1= 0 which satisfied e δ {αf ′(z)+ βzf ′′(z)}> γ i Re
in the open unit disk D = {z ∈ı : z < 1} for some α ∈ı (α ≠ 0) ,
β ∈ı and γ ∈ı (0 ≤γ 0 . In
this paper, we determine some extremal properties including
distortion theorem and argument of f ′( z ) .