Table 1 Comparison among \(N_{2}\) (4.2), C (4.1), \(W_{1}\) (1.3) and \(W_{2}\) (1.6)
x | \(\vert \frac{N_{2} ( x ) -\Gamma ( x+1 ) }{\Gamma ( x+1 ) } \vert \) | \(\vert \frac{C ( x ) -\Gamma ( x+1 ) }{\Gamma ( x+1 ) } \vert \) | \(\vert \frac{W_{1} ( x ) -\Gamma ( x+1 ) }{\Gamma ( x+1 ) } \vert \) | \(\vert \frac{W_{2} ( x ) -\Gamma ( x+1 ) }{\Gamma ( x+1 ) } \vert \) |
|---|---|---|---|---|
1 | 1.114 × 10−4 | 1.398 × 10−4 | 1.832 × 10−4 | 2.407 × 10−5 |
2 | 1.900 × 10−6 | 2.222 × 10−6 | 2.668 × 10−6 | 2.308 × 10−7 |
5 | 4.353 × 10−9 | 4.956 × 10−9 | 5.743 × 10−9 | 1.249 × 10−10 |
10 | 3.609 × 10−11 | 4.088 × 10−11 | 4.710 × 10−11 | 2.785 × 10−13 |
20 | 2.864 × 10−13 | 3.240 × 10−13 | 3.727 × 10−13 | 5.634 × 10−16 |
50 | 4.713 × 10−16 | 5.330 × 10−16 | 6.129 × 10−16 | 1.492 × 10−19 |
100 | 3.684 × 10−18 | 4.166 × 10−18 | 4.791 × 10−18 | 2.918 × 10−22 |