Sufficiency conditions for the stability of a class of 3-D functions with nonessential singularities of the second kind

In this correspondence, we state sufficiency conditions for boundedness, and
1_{2^-}
and
1_{1^-}
stabilities of a 3-D function
G(z_1, z_2, z_3) =
P(z_1, z_2, z_3)/Q(z_1, z_2, z_3)
, where
Q
is a polynomial which is linear in all its three variables, and
P/Q
has some second kind nonessential singularities in
\overline{U}^3 - U^3
. Some illustrative examples are also given.