Let f be a locally univalent function on the unit disk
U. We consider the normalized extensions of f to the Euclidean
unit ball B
n ⊆ C
n
given by
Φn,γ(f)(z) = (
f(z1),
(
f
′
(z1)
)γ
zˆ
)
,
where γ ∈ [0, 1/2], z = (z1, zˆ) ∈ B
n
and
Ψn,β(f)(z) = (
f(z1),
(
f(z1)
z1
)β
zˆ
)
,
in which β ∈ [0, 1], f(z1) ̸= 0 and z = (z1, zˆ) ∈ B
n
. In the case γ =
1/2, the function Φn,γ(f) reduces to the well known Roper-Suffridge
extension operator. By using different methods, we prove that if f
is parabolic starlike mapping on U then Φn,γ(f) and Ψn,β(f) are
parabolic starlike mappings on B