  Quantum electrodynamics in three dimensions in the bispinor formulation is
considered. It is shown that the Dyson-Schwinger equations for fermion and
boson propagators may be self-consistently solved in the infrared domain if on
uses the Salam's vertex function. The parameters defining the behavior of the
propagators are found numerically for different values of coupling constant and
gauge parameter. For weak coupling the approximated analytical solutions are
obtained. The renormalized gauge boson propagator (transverse part) is shown in
the infrared domain to be practically gauge independent.
