Table 4 Some numerical results of \(\varLambda _{1i}\), \(\varLambda _{2i}\), and \(\varGamma _{q}(\zeta _{i}+1)\) in Example 1 for \(q=\frac{6}{7}\)
n | \(q =\frac{6}{7}\) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
\(\varLambda _{11}\) | \(\varLambda _{21}\) | \(\varGamma _{q}(\zeta _{1}+1)\) | \(\varLambda _{12}\) | \(\varLambda _{22}\) | \(\varGamma _{q}(\zeta _{2}+1)\) | \(\varLambda _{13}\) | \(\varLambda _{23}\) | \(\varGamma _{q}(\zeta _{3} + 1)\) | |
1 | 1.1914 | 1.0078 | 1.2002 | 0.6438 | 0.6785 | 1.5189 | 0.559 | 0.641 | 1.6878 |
2 | 1.2638 | 1.2688 | 1.1277 | 0.7963 | 0.9496 | 1.3487 | 0.7147 | 0.9078 | 1.4673 |
3 | 1.357 | 1.5226 | 1.0798 | 0.9337 | 1.2104 | 1.2408 | 0.8565 | 1.1673 | 1.3295 |
4 | 1.4502 | 1.7599 | 1.0458 | 1.0566 | 1.4544 | 1.1663 | 0.9839 | 1.4117 | 1.2356 |
5 | 1.5372 | 1.9772 | 1.0204 | 1.1655 | 1.6783 | 1.1121 | 1.0973 | 1.6369 | 1.1678 |
â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® |
64 | 2.1482 | 3.5433 | 0.9128 | 1.8883 | 3.3064 | 0.8946 | 1.8536 | 3.28 | 0.9016 |
65 | 2.1482 | 3.5433 | 0.9128 | 1.8883 | 3.3064 | 0.8946 | 1.8536 | 3.28 | 0.9016 |
66 | 2.1482 | 3.5434 | 0.9128 | 1.8883 | 3.3064 | 0.8946 | 1.8536 | 3.28 | 0.9016 |
67 | 2.1482 | 3.5434 | 0.9128 | 1.8883 | 3.3064 | 0.8946 | 1.8536 | 3.28 | 0.9016 |
68 | 2.1482 | 3.5434 | 0.9128 | 1.8883 | 3.3065 | 0.8946 | 1.8536 | 3.2801 | 0.9016 |
69 | 2.1482 | 3.5434 | 0.9128 | 1.8883 | 3.3065 | 0.8946 | 1.8536 | 3.2801 | 0.9016 |
70 | 2.1482 | 3.5434 | 0.9128 | 1.8883 | 3.3065 | 0.8946 | 1.8536 | 3.2801 | 0.9016 |