Let S
∗
Ωn,p2,...,pn
(β, A, B) be some subclasses of starlike mappings on some Reinhardt domain Ωn,p2,...,pn =
{z ∈ C
n : |z1|
2 +
Pn
j=2
|zj |
pj < 1}, where −1 ≤ A < B < 1 and β ∈ (−
π
2
,
π
2
). Some different conditions
for Q are established such that these classes are preserved under the following modified Roper-Suffridge
operator [Φn,Q(f)](z) =
f(z1) + f
0
(z1)Q(ˆz),
p
f
0(z1)ˆz
, where f is a normalized biholomorphic function
on the unit disc U, and (z1, zˆ) ∈ Ωn,p2,...,pn
. Another conditions for Q are also obtained such that the
above generalized Roper-Suffridge operator preserves a spirallike mapping of type β and order α and
strongly spirallike mapping of type β and order α, respectively.