  We investigate the dependence of the local galaxy luminosity function on
morphology using 5,404 galaxies from the recently enlarged Second Southern Sky
Redshift Survey (SSRS2). Over the range -22 \le M_B \le -14 ($H_0 = 100
km/s/Mpc), the luminosity function of early-type galaxies is well fitted by a
Schechter function with parameters M_*=-19.37^{+0.10}_{-0.11},
alpha=-1.00^{+0.09}_{-0.09} and phi_*=0.0044 +/- 0.0008 Mpc^{-3}. The spiral
luminosity function is very similar and is well fitted by the parameters
M_*=-19.43^{+0.08}_{-0.08}, alpha=-1.11^{+0.07}_{-0.06} and phi_*=0.0080 +/-
0.0014 Mpc^{-3} over the same range in absolute magnitude. The flat faint end
of the early-type luminosity function is consistent with earlier measurements
from the CfA Redshift Survey (Marzke et al. 1994) but is significantly steeper
than the slope measured in the Stromlo-APM survey (Loveday et al. 1992).
Combined with the increased normalization of the overall LF measured from
intermediate redshift surveys, the flat faint-end slope of the E/S0 LF produces
no-evolution models which reproduce the deep HST counts of early-type galaxies
remarkably well. However, the observed normalization of the SSRS2 LF is
consistent with the low value measured in other local redshift surveys. The
cause of this low-redshift anomaly remains unknown. The luminosity function of
irregular and peculiar galaxies in the SSRS2 is very steep:
M_*=-19.78^{+0.40}_{-0.50}, alpha=-1.81^{+0.24}_{-0.24} and phi_*=0.0002 +/-
0.00008 Mpc^{-3}. The steep slope is consistent with the LFs measured for Sm-Im
galaxies in the CfA survey, UV-selected galaxies (Treyer et al. 1997),
star-forming field galaxies (Bromley et al. 1997) and the bluest galaxies in
the SSRS2 (Marzke & da Costa 1997).
