A treatise on the theory of Bessel functions, by G. N. Watson.

746

TABLES OF BESSEL FUNCTIONS
Table VI. Functions of equal order and argument
n Jn (M) n3J]n (n) M J/' (n) n3 Jn (n) n

I

I

I
2
3
4
5
6
9
I0
II
12
I3
I4
I5
16
17
I8
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50

I

0-44005o6
0-3528340
0-3090627
0-2811291
0-2611405
0-2458369
0'2335836
0'2234550
0-2148806
0-2074861
0-2010140
0-1952802
01I901489
0-1855174
oI1813063
0'1774532
0-1739079
01I706299
0O1675857
0o1647478
0-1620927
0-1596009
o'I572555
01550422
0'1529484
0'1509633
0'1490774
0I472823
0'1455706
0'1439359
01I423721
0-1408742
0'1394373
01I380567
0-1367305
0'1354531
0-I342222
0'1330349
01I318885
0-1307805
0'1297089
O-I286716
01I276667
0-1266925
0'I257473
0-1248297
0-1239383
O-I2307I9
0-I22229I
0I1214090

I

0-4400506
0o4445430
0'4457456
0-4462646
o0446544I
0-4467152
0-4468293
0-4469100
0-4469696
0'4470153
0'4470512
0'4470800
0-4471036
0'4471233
0'4471399
0'4471540
0-4471662
0'4471768
0-4471861
0'4471943
0-4472015
0'4472080
0'4472138
0-4472191
0'4472239
0-4472282
0-4472321
0'4472358
0o447239I
0-4472422
0'4472450
0'4472476
0'4472500
04472523
0'4472544
o04472564
0'4472583
04472600
0'4472616
o'4472632
0'4472646
0'4472660
0'4472673
0'4472685
0'4472697
0'4472708
0'4472718
0-4472728
0'4472738
0'4472747

I

0-3251471
o-2238908
01I770285
0-1490424
0-1300918
0-1162502
O-1056130
o00971341
0g0901865
o-o843696
0-0794142
0-0751323
0-0713880
o-o68o8o6
o0o651336
0o0624879
0o0600969
0'0579234
o'0559374
0-0541141
0-0524332
0'0508777
o'0494332
0-0480874
0-0468301
0.0456522
0'0445460
0'0435048
0-0425226
0-0415942
0-0407151
0-0398812
0-0390889
0-0383350
0-0376165
0-0369309
0-0362758
0-0356491
0.0350489
0'0344734
0-0339210
0'0333904
0.0328800
0-0323888
0-0319156
0'0314594
0-0310192
0-0305941
0-0301833
0.0297861

I

I

o0325I47I
0o3554045
0-3682342
0-3755633
0-3803908
0-3838497
0'3864704
0-3885364
0-3902143
0o3916089
0-3927897
0-3938047
0.3946882
0-3954655
0-3961557
0-3967734
0o3973300
0'3978347
0o3982948
0'3987163
0o399I04I
0'3994624
0-3997946
0-4001035
0'4003917
0-4006614
0'4009143
0-4011521
o04013762
0-4015877
0-4017879
0'4019775
0'4021576
0.4023288
0.4024918
0-4026472
0-4027956
0-4029374
0-4030732
0o4032033
0.4033281
04034479
0-4035631
0-4036738
0o4037805
0'4038833
0-4039824
0'4040781
0-4041705
0'4042599

I

I
2
3
4
5
6
7
8
9
IO
II
12
I3
14
15
16
I7
I8
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50

I

I

-

I

I

I

I

I

For values of n exceeding 50, the following approximations may be used with seven-figure
accuracy: 0-44730 73184 I 000_ 586 2885 i 14213
J, (n),,~4I- 3 [ - r 23 - - I 4625,
n3 -I_ 225n2
J'((n),- o~'4~io85 oi939 [I- +-23 0-08946 I4637 I' 947
J2 4n) - 2 n - 69n30.
na 3i5on.2 nX