  In this work the generation of generalized Chern-Simons terms in three
dimensional quantum electrodynamics with high spatial derivatives is studied.
We analyze the self-energy corrections to the gauge field propagator by
considering an expansion of the amplitude up to third order in the external
momenta. The divergences of the corrections are determined and explicit forms
for the Chern-Simons terms with high derivatives are obtained. Some unusual
aspects of the calculation are stressed and the existence of a smooth isotropic
limit is proved. The transversality of the anisotropic gauge propagator is also
discussed.
