THE LUMINOSITY FUNCTION AND SIZE DISTRIBUTION OF THE H-II REGIONS IN M33

We present Ha fluxes and sizes for most of the H II regions in M33 lis ted in the catalog of Courtes et al. (1987, A&A, 174, 28). The observe d bright end of the differential luminosity function is approximately a power law with exponent a = -2.40 +/- 0.15, while the number counts turn over at an H a luminosity of approximately 10(36.4)erg s(-1). Aft er accounting for the effects of incompleteness in our sample, we find that the faint end of the corrected luminosity function remains almos t constant instead of turning over. The cumulative size distribution a pproximately follows an exponential law with scale size D-0 32 +/- 1 p c. We briefly discuss the implications of our results for our understa nding of recent high-mass star formation in M33.