We analyze the statistical properties of the circumnuclear H II regions of
a sample of 52 nearby galaxies (v < 1000 km s(-1)) from archival HST/NICMOS
H-band and Pa<alpha> (1.87 mum) observations at unprecedented spatial reso
lutions of between 1 and 30 pc. We catalog H II regions from the continuum-
subtracted Pa alpha images and find H II regions in the central regions of
most galaxies, and more than a hundred in each of eight galaxies. In contra
st to disk H II regions, the physical properties (luminosity and size) of i
ndividual circumnuclear H II regions do not vary strongly with the morpholo
gical type of the host galaxy, nor does the number of circumnuclear H II re
gions per unit area. The H alpha luminosity within the central kiloparsec,
as derived from H II region emission, is significantly enhanced in early-ty
pe (S0/a-Sb) galaxies. We find evidence that bars increase the circumnuclea
r star formation, presumably by funneling gas from the disk toward the nucl
eus. Barred galaxies exhibit enhanced luminosities of the brightest H II re
gion, the central kiloparsec H alpha luminosities (an effect mostly due to
the early-type galaxies in our sample), and the star formation rates per un
it stellar mass (which could also be understood as the integral equivalent
widths of Pa alpha) over the central kiloparsec with respect to nonbarred g
alaxies. We Dt the luminosity functions (LFs) and diameter distributions of
the circumnuclear H II regions in eight galaxies where we can catalog enou
gh H II regions to do so in a meaningful way. We use power laws and find th
at the fitted slopes of the H II region LF are exactly in the previously fo
und ranges and even confirm a trend with steeper slopes in galaxies of earl
ier morphological type. This implies that the physical processes giving ris
e to enhanced star formation in the circumnuclear regions of galaxies must
be similar to those in disks.