Table 2 Numerical results of Λ, \(\varrho ^{\ast }\) and θ for \(\mathrm{q} = \frac{10}{13}\) in Example 4.1
n | \(\Gamma _{\mathrm{q}}(\varsigma )\) | \(\Gamma _{\mathrm{q}}(\nu )\) | \(\Gamma _{\mathrm{q}}(\varsigma -\nu )\) | Λ | \(\theta _{0}\) | \(\varrho ^{\ast }\) | θ |
|---|---|---|---|---|---|---|---|
\(\mathrm{q} = \frac{10}{13}\) | |||||||
1 | 12.7438 | 4.2729 | 4.3560 | 10.5099 | 0.0951 | 0.2192 | 0.0209 |
2 | 10.0203 | 4.4743 | 4.6759 | 8.3756 | 0.1194 | 0.2192 | 0.0262 |
3 | 8.5259 | 4.6081 | 4.8917 | 7.1824 | 0.1392 | 0.2192 | 0.0305 |
4 | 7.6129 | 4.7014 | 5.0440 | 6.4453 | 0.1552 | 0.2192 | 0.0340 |
5 | 7.0164 | 4.7686 | 5.1543 | 5.9602 | 0.1678 | 0.2192 | 0.0368 |
6 | 6.6088 | 4.8178 | 5.2355 | 5.6272 | 0.1777 | 0.2192 | 0.0390 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
18 | 5.5407 | 4.9627 | 5.4771 | 4.7478 | 0.2106 | 0.2192 | 0.0462 |
19 | 5.5312 | 4.9641 | 5.4794 | 4.7399 | 0.2110 | 0.2192 | 0.0463 |
20 | 5.5239 | 4.9652 | 5.4813 | 4.7339 | 0.2112 | 0.2192 | 0.0463 |
21 | 5.5183 | 4.9660 | 5.4827 | 4.7293 | 0.2115 | 0.2192 | 0.0464 |
22 | 5.5140 | 4.9667 | 5.4838 | 4.7257 | 0.2116 | 0.2192 | 0.0464 |
23 | 5.5107 | 4.9672 | 5.4846 | 4.7229 | 0.2117 | 0.2192 | 0.0464 |
24 | 5.5081 | 4.9676 | 5.4852 | 4.7208 | 0.2118 | 0.2192 | 0.0464 |
25 | 5.5062 | 4.9678 | 5.4857 | 4.7192 | 0.2119 | 0.2192 | 0.0465 |
26 | 5.5047 | 4.9681 | 5.4861 | 4.7180 | 0.2120 | 0.2192 | 0.0465 |
27 | 5.5035 | 4.9682 | 5.4864 | 4.7170 | 0.2120 | 0.2192 | 0.0465 |