Table 1 Positive zeroes of \(\mathtt{W}_{ \nu , 1}^{\mathtt{k}}\) for fixed ν and different k
From: Differential equation and inequalities of the generalized k-Bessel functions
k | 0.5 | 1 | 1.5 | 2 | 2.5 |
|---|---|---|---|---|---|
ν = −0.4 and c = 1 | |||||
1st zero | 0.662422 | 1.75098 | 2.42334 | 2.95334 | 3.40423 |
2nd zero | 2.96686 | 4.87852 | 6.24148 | 7.3588 | 8.32849 |
3rd zero | 5.2018 | 8.01663 | 10.0812 | 11.7913 | 13.2836 |
ν = 0.5 and c = 1 | |||||
1st zero | 2.70943 | 3.14159 | 3.55493 | 3.93277 | 4.28026 |
2nd zero | 4.96077 | 6.28319 | 7.38858 | 8.35255 | 9.21757 |
3rd zero | 7.19373 | 9.42478 | 11.2315 | 12.7879 | 14.1752 |