  We investigate the Coma cluster galaxy luminosity function (GLF) at faint
magnitudes, in particular in the u* band by applying photometric redshift
techniques applied to deep u*, B, V, R, I images covering a region of ~1deg2 (R
24). Global and local GLFs in the B, V, R and I bands obtained with photometric
redshift selection are consistent with our previous results based on a
statistical background subtraction.
  In the area covered only by the u* image, the GLF was also derived after
applying a statistical background subtraction. The GLF in the u* band shows an
increase of the faint end slope towards the outer regions of the cluster (from
alpha~1 in the cluster center to alpha~2 in the cluster periphery). This could
be explained assuming a short burst of star formation in these galaxies when
entering the cluster.
  The analysis of the multicolor type spatial distribution reveals that late
type galaxies are distributed in clumps in the cluster outskirts, where X-ray
substructures are also detected and where the GLF in the u* band is steeper.
