  Various Green functions of the Dirac equation with a magnetic-solenoid field
(the superposition of the Aharonov-Bohm field and a collinear uniform magnetic
field) are constructed and studied. The problem is considered in 2+1 and 3+1
dimensions for the natural extension of the Dirac operator (the extension
obtained from the solenoid regularization).
  Representations of the Green functions as proper time integrals are derived.
The nonrelativistic limit is considered. For the sake of completeness the Green
functions of the Klein-Gordon particles are constructed as well.
