Zeros of J0(x),
J1(x)
n |
x0n |
x0n / π
| x1n |
x1n / π
| x2n |
x2n / π
|
1 |
2.4048255579 |
0.76547974962 |
3.8317060433 |
1.21966991453 |
5.13562 |
1.63472 |
2 |
5.5200767359 |
1.75709499753 |
7.0155867290 |
2.23313061324 |
8.41724 |
2.67929 |
3 |
8.6537307490 |
2.75456804979 |
10.1734681353 |
3.23831548426 |
11.6198 |
3.69871 |
4 |
11.7915365528 |
3.75336265807 |
13.3236956617 |
4.24106404963 |
14.7960 |
4.70970 |
5 |
14.9309190992 |
4.75265915909 |
16.4706299757 |
5.24276435294 |
17.9598 |
5.71679 |
6 |
18.0710648969 |
5.75219861054 |
19.6158592418 |
6.24392192266 |
21.1170 |
6.72175 |
7 |
21.2116372721 |
6.75187384584 |
22.7600843804 |
7.24475986867 |
24.2701 |
7.72542 |
8 |
24.3524719901 |
7.75163258747 |
25.9036725106 |
8.24539504860 |
27.4206 |
8.72824 |
9 |
27.4934794708 |
8.75144632113 |
29.0468285172 |
9.24589267931 |
30.5692 |
9.73048 |
10 |
30.6346067248 |
9.75129817986 |
32.1896805165 |
10.2462935415 |
33.7165 |
10.7323 |
n |
→ ( n − 1/4 ) π |
→ n − 1/4 |
→ ( n + 1/4 ) π |
→ n + 1/4 |
→ ( n + 3/4 ) π |
→ n + 3/4 |