  We present a quantitative morphological analysis of 187 galaxies in a region
covering the central 0.28 square degrees of the Coma cluster. Structural
parameters from the best-fitting Sersic r^{1/n} bulge plus, where appropriate,
exponential disc model, are tabulated here. This sample is complete down to a
magnitude of R=17 mag. By examining the Edwards et al. (2002) compilation of
galaxy redshifts in the direction of Coma, we find that 163 of the 187 galaxies
are Coma cluster members, and the rest are foreground and background objects.
For the Coma cluster members, we have studied differences in the structural and
kinematic properties between early- and late-type galaxies, and between the
dwarf and giant galaxies. Analysis of the elliptical galaxies reveals
correlations among the structural parameters similar to those previously found
in the Virgo and Fornax clusters. Comparing the structural properties of the
Coma cluster disc galaxies with disc galaxies in the field, we find evidence
for an environmental dependence: the scale lengths of the disc galaxies in Coma
are 30% smaller. A kinematical analysis shows marginal differences between the
velocity distributions of ellipticals with Sersic index n<2 (dwarfs) and those
with n>2 (giants); the dwarf galaxies having a greater (cluster) velocity
dispersion. Finally, our analysis of all 421 background galaxies reveals a
non-uniform distribution in redshift with contrasts in density ~3,
characterized by a void extending from ~10,000 to ~20,000 km s^{-1}, and two
dense and extended structures centred at ~20,000 and ~47,000 km s^{-1}.
