  The noncommutative (NC) massive quantum electrodynamics in $2+1$ dimensions
is considered. We show explicitly that the one-loop effective action arising
from the integrating out the fermionic fields leads to the ordinary NC
Chern-Simons and NC Maxwell action at the long wavelength limit (large fermion
mass). In the next to leading order, the higher-derivative contributions to NC
Chern-Simons are obtained. Moreover, the gauge invariance of the outcome action
is carefully discussed. We then consider the higher-derivative modification
into the pure NC Chern-Simons Lagrangian density and evaluate the one-loop
correction to the pole of the photon propagator.
