R136, the compact, luminous star cluster at the center of the 30 Dorad
us nebula, represents an extreme mode of star formation. Yet it is uni
que among these kinds of objects in that it can be resolved into indiv
idual stars and the star formation process probed through the stellar
products. In a previous paper we reported on a study of the intermedia
te stellar mass population in R136 and derived a stellar initial mass
function (IMF) for intermediate-mass stars in the region 0.5 to 4.7 pc
from the center of the cluster. We have now obtained Hubble Space Tel
escope images designed to probe the stellar population in the core (<0
.5 pc) of the cluster. We have measured the IMF for stars 5-15 M(.) at
radii 0.11-0.34 pc, and for 4-15 M(.) at 0.34-0.46 pc. Beyond 0.46 pc
we measure stars in mass bins from 2.8-15 M(.), as before. The slope
of the stellar IMF beyond 0.5 pc is found to be -1.0 +/- 0.1, which is
within a few sigma of the value measured previously for the same annu
lus. The slopes of the IMFs become shallower at smaller radii, but the
uncertainties do not rule out an IMF that is constant with cluster ra
dius. The lower stellar mass limit is less than or equal to 5 M(.) in
the cluster core. Thus, R136 is found to be similar to less concentrat
ed OB associations even into 0.1 pc from the center of the cluster.