U-, B- and r-band luminosity functions of galaxies in the Coma cluster

We present a deep multicolour CCD mosaic of the Coma cluster (Abell 1656), covering 5.2 deg(2) in the B and r bands, and 1.3 deg(2) in the U band. This large, homogeneous data set provides a valuable low-redshift comparison sample for studies of galaxies in distant clusters. In this paper we present our survey, and study the dependence of the galaxy luminosity function (LF) on passband and radial distance from the cluster centre. The U-, B- and r-band LFs of the complete sample cannot be represented by single Schechter functions. For the central area, r