Table 6 The radius of convergence of the fractional polytrope with n = 3.
From: Analysis of the fractional relativistic polytropic gas sphere
\(\xi_{1}\) | ||||||
|---|---|---|---|---|---|---|
\(\sigma\) | \(\alpha = 1\) | \(\alpha = 0.99\) | \(\alpha = 0.98\) | \(\alpha = 0.97\) | \(\alpha = 0.96\) | \(\alpha = 0.95\) |
0 | 6.894 | 6.658 | 6.464 | 6.309 | 6.182 | 6.075 |
0.001 | 6.864 | 6.887 | 6.863 | 6.929 | 6.943 | 6.909 |
0.003 | 6.850 | 6.868 | 6.893 | 6.917 | 6.952 | 6.976 |
0.005 | 6.837 | 6.857 | 6.884 | 6.904 | 6.934 | 6.973 |
0.007 | 6.835 | 6.564 | 6.874 | 6.891 | 6.920 | 6.950 |
0.009 | 6.833 | 6.855 | 6.877 | 6.880 | 6.929 | 6.954 |
0.01 | 6.821 | 6.831 | 6.858 | 6.878 | 6.898 | 6.931 |
0.03 | 6.707 | 6.772 | 6.813 | 6.819 | 6.813 | 6.864 |
0.05 | 6.710 | 6.650 | 6.560 | 6.766 | 6.784 | 6.851 |
0.07 | 6.723 | 6.938 | 7.001 | 7.112 | 7.162 | 7.195 |
0.09 | 6.811 | 6.963 | 7.065 | 7.119 | 7.237 | 7.295 |
0.1 | 6.872 | 7.097 | 7.107 | 7.031 | 7.119 | 7.452 |
0.2 | 7.941 | 8.039 | 7.905 | 7.294 | 7.063 | 7.876 |
0.3 | 10.841 | 10.342 | 10.937 | 10.549 | 10.801 | 10.633 |
