  We study the shadows cast by the different types of rotating regular black
holes viz. Ay\'on-Beato-Garc\'ia {(ABG)}, Hayward, and Bardeen. These black
holes have in addition to the total mass ($M$) and rotation parameter ($a$),
different parameters as electric charge ($Q$), deviation parameter ($g$), and
magnetic charge ($g_{*}$), respectively. Interestingly, the size of the shadow
is affected by these parameters in addition to the rotation parameter. We found
that the radius of the shadow in each case decreases monotonically and the
distortion parameter increases when the value of these parameters increase. A
comparison with the standard Kerr case is also investigated. We have also
studied the influence of the plasma environment around regular black holes to
discuss its shadow. The presence of the plasma affects the apparent size of the
regular black hole's shadow to be increased due to two effects (i)
gravitational redshift of the photons and (ii) radial dependence of plasma
density.
