Let Q : Cn1 ! C be a homogenous polynomail
of degree 2. We consider the normalized extension of f to the
Euclidean unit ball Bn Cn given by [Q(f)](z) = (f(z1) +
f′(z1)Q(^z);
√
f′(z1)^z); where z = (z1; ^z) 2 Bn. In this paper, we
show that under certain conditions, Q(f) preserve almost starlike
mappings of complex order .