Table 9 Mass function of the fractional polytrope with n = 1.
From: Analysis of the fractional relativistic polytropic gas sphere
\(\upsilon \, (\xi_{1} )\) | ||||||
|---|---|---|---|---|---|---|
\(\sigma\) | \(\alpha = 1\) | \(\alpha = 0.99\) | \(\alpha = 0.98\) | \(\alpha = 0.97\) | \(\alpha = 0.96\) | \(\alpha = 0.95\) |
0 | 3.1416 | 3.0451 | 2.9528 | 2.8643 | 2.7796 | 2.6985 |
0.1 | 1.7514 | 1.7167 | 1.6831 | 1.6505 | 1.6188 | 1.5881 |
0.2 | 1.1426 | 1.1275 | 1.1127 | 1.0983 | 1.0842 | 1.0704 |
0.4 | 0.8192 | 0.8119 | 0.8049 | 0.7980 | 0.7911 | 0.7846 |
0.5 | 0.6249 | 0.6215 | 0.6182 | 0.6149 | 0.6116 | 0.6085 |
0.6 | 0.4984 | 0.4969 | 0.4956 | 0.4940 | 0.4928 | 0.4917 |
