Stellar Luminosity Function, φ(M), Emission Function, E(M), and Star Density Md(V) (see below)
M  

log φ(M)

   φ(M)   E(M)   Md(M)
  pg V   pg V   pg V bol   V
in mag   in pc-3   in 10-4 pc-3   in 10-6 (M=0) pc-3   10-4 Msun
 pc-3
< -6               3 1 20    
-6   -7.6 -7.9   0.0002 0.0001   6 3 30   0.005
-5   -6.9 -7.2   0.0012 0.0006   13 6 80   0.02
-4   -6.37 -6.54   0.0043 0.0029   17 11 110   0.06
-3   -5.79 -5.90   1.016 0.013   26 20 130   0.17
-2   -5.23 -5.28   0.06 0.05   37 33 150   0.5
-1   -4.69 -4.60   0.20 0.25   51 63 180   1.6
0   -4.13 -3.95   1 1   74 112 230   4
                         
1   -3.64 -3.46   2 3   91 138 210   10
2   -3.30 -3.20   5 6   79 100 110   12
3   -3.02 -2.94   10 12   60 72 75   18
4   -2.81 -2.72   15 19   39 48 50   23
5   -2.66 -2.47   22 34   22 34 32   37
                         
6   -2.53 -2.37   30 42   12 17 18   38
7   -2.47 -2.45   34 35   5 6 10   26
8   -2.39 -2.38   41 42   3 3 6   26
9   -2.30 -2.27   59 54   1 1 3   29
10   -2.19 -2.11   65 78   1 1 2   34
                         
11   -2.10 -2.01   80 98       1   35
12   -2.03 -1.97   93 107           34
13   -1.99 -1.93   102 117           28
14   -1.94 -1.89   115 129           23
15   -1.90 -1.90   126 125           20
                         
16   -1.92 -1.92   120 120           15
17   -1.97 -1.97   107 107           9
18   -2.05 -2.08   89 83           6
19   -2.2 -2.3   63 50           4
20   -2.4 -2.5   40 30           2
                         
21   -2.7 -2.9   20 13           1
22   -3.1 -3.3   8 5           1
Total         1247 1310   540 669 1447   437

Luminosity function = φ(M) = number of stars per unit volume within the magnitude range M + ½ ↔ M - ½.  The table gives also E, the stellar emission of light or radiation in number of zero absolute magnitude stars per unit volume; and Md the total star mass per unit volume in each magnitude range.  The visual magnitude ranges have been used for the column E(bol) which expresses the number of Mbol = 0 stars per unit volume.   φ(M), E, and Md all become doubtful for M > 17.