Table 2 Some numerical results for calculation of \(\varGamma _{q}(x)\) with \(q=\frac{1}{8}, \frac{1}{2}, \frac{4}{5}, \frac{8}{9}\) for \(x=9.5\) of Algorithm 2
n | \(q=\frac{1}{8}\) | \(q=\frac{1}{2}\) | \(q=\frac{4}{5}\) | \(q=\frac{8}{9}\) |
|---|---|---|---|---|
1 | 2.679786 | 136.046206 | 79,062.138227 | 6,301,918.338883 |
2 | 2.674552 | 119.081545 | 41,793.335091 | 2,528,395.395827 |
3 | 2.673899 | 111.658224 | 26,290.733638 | 1,232,715.590371 |
4 | 2.673818 | 108.178242 | 18,589.881264 | 689,176.848061 |
5 | 2.673808 | 106.492553 | 14,278.326587 | 426,538.394173 |
6 | 2.673806 | 105.662861 | 11,650.586796 | 285,518.687713 |
7 | 2.673806 | 105.251251 | 9946.3508930 | 203,363.796571 |
â‹® | â‹® | â‹® | â‹® | â‹® |
26 | 2.673806 | 104.841780 | 5522.283831 | 25,842.863721 |
27 | 2.673806 | 104.841780 | 5513.202433 | 25,230.371788 |
28 | 2.673806 | 104.841779 | 5505.949683 | 24,699.649904 |
29 | 2.673806 | 104.841779 | 5500.155385 | 24,238.446645 |
â‹® | â‹® | â‹® | â‹® | â‹® |
106 | 2.673806 | 104.841779 | 5477.048235 | 20,879.606269 |
107 | 2.673806 | 104.841779 | \( \underline{5477}\underline{.}\underline{048234} \) | 20,879.566792 |
108 | 2.673806 | 104.841779 | 5477.048234 | 20,879.531702 |
â‹® | â‹® | â‹® | â‹® | â‹® |
118 | 2.673806 | 104.841779 | 5477.048234 | 20,879.337427 |
119 | 2.673806 | 104.841779 | 5477.048234 | 20,879.327822 |
120 | 2.673806 | 104.841779 | 5477.048234 | \( \underline{20\text{,}879}\underline{. }\underline{319284\vphantom{\text{,}}} \) |