From: Differential equation and inequalities of the generalized k-Bessel functions
ν | −0.4 | −0.3 | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 |
---|---|---|---|---|---|---|---|---|
k = 0.5 and c = 1 | ||||||||
1st zero | 0.662422 | 0.97534 | 1.70047 | 2.70943 | 3.63143 | 4.51146 | 5.36577 | 6.20238 |
2nd zero | 2.96686 | 3.21271 | 3.90328 | 4.96077 | 5.95189 | 6.90209 | 7.82393 | 8.72471 |
3rd zero | 5.2018 | 5.43751 | 6.11911 | 7.19373 | 8.21647 | 9.20314 | 10.1629 | 11.1017 |
k = 1 and c = 1 | ||||||||
1st zero | 1.75098 | 1.92285 | 2.40483 | 3.14159 | 3.83171 | 4.49341 | 5.13562 | 5.76346 |
2nd zero | 4.87852 | 5.04213 | 5.52008 | 6.28319 | 7.01559 | 7.72525 | 8.41724 | 9.09501 |
3rd zero | 8.01663 | 8.17785 | 8.65373 | 9.42478 | 10.1735 | 10.9041 | 11.6198 | 12.3229 |
k = 1.5 and c = 1 | ||||||||
1st zero | 2.42334 | 2.55767 | 2.9453 | 3.55493 | 4.13426 | 4.69286 | 5.2362 | 5.76774 |
2nd zero | 6.24148 | 6.37291 | 6.76069 | 7.38858 | 7.9979 | 8.5923 | 9.1744 | 9.74613 |
3rd zero | 10.0812 | 10.2116 | 10.5986 | 11.2315 | 11.8513 | 12.4599 | 13.0587 | 13.6488 |
k = 2 and c = 1 | ||||||||
1st zero | 2.95334 | 3.06754 | 3.40094 | 3.93277 | 4.44288 | 4.93703 | 5.41885 | 5.8908 |
2nd zero | 7.3588 | 7.47176 | 7.80657 | 8.35255 | 8.88577 | 9.40825 | 9.92154 | 10.4269 |
3rd zero | 11.7913 | 11.9037 | 12.2382 | 12.7879 | 13.3286 | 13.8616 | 14.3875 | 14.907 |