The luminosity function of galaxies in compact groups

We study the luminosity function of galaxies in Hickson groups using our recent redshift survey of galaxies in and around 17 of these groups. We find that the galaxies in these regions have a luminosity function with M* = -19.5 + 5 log h, and alpha = -1.0, where M* and alpha are the usual parameters in the standard Schechter form of the luminosity function, and the magnitudes are measured in the B band. The formal 95% confidence intervals for M* and alpha range from (-19.3,-0.8), to (-19.7,-1.2) and are highly correlated as is usual for these fits. This luminosity function for galaxies in our Hickson group sample is very similar from that found in large surveys covering a range of environments. These values are also consistent with our earlier estimates based on a photometric analysis with statistical background correction, and do not support previous suggestions of an underabundance of intrinsically faint galaxies in compact groups. We confirm our earlier finding that the fainter galaxies are more diffusely distributed within individual groups than the brighter ones. This can be interpreted either as evidence for mass segregation within the groups or as the result of the selection procedure for Hickson groups.