Biology Reference
In-Depth Information
196
we get,
where is any angle. Values of J n (x) can be found in tables of
mathematical functions (see, for example, Abramowitz and Stegun, 1965).
Those of J 1 (x), J 2 (x), J 3 (x) and J 4 (x) in the range of x between 0.0 to 8.0 are
listed in Table 8-1. Only five decimal places are included. Bessel functions
are also available on various computers.
Table 8-1. Values of J n (x) for n = 1, 2, 3 and 4, and 0.0 < x < 8.0.
x
J 2 (x)
J 3 (x)
J 1 (x)
J 4 (x)
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.4
2.6
2.8
3.0
0.00000
0.09950
0.19603
0.28670
0.36884
0.44005
0.49829
0.54195
0.56990
0.58152
0.57672
0.55596
0.52019
0.47082
0.40971
0.33906
0.00000
0.00498
0.01973
0.04367
0.07582
0.11490
0.15935
0.20736
0.25697
0.30614
0.35283
0.38506
0.43098
0.45897
0.47769
0.48609
0.00000
0.00017
0.00132
0.00440
0.01025
0.01956
0.03287
0.05050
0.07252
0.09880
0.12894
0.16233
0.19811
0.23529
0.27270
0.30906
0.00000
0.00000
0.00007
0.00033
0.00103
0.00248
0.00502
0.00906
0.01500
0.02320
0.03400
0.04765
0.06431
0.08401
0.10667
0.13203
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