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

'720

TABLES OF BESSEL. UNCTIONS

Table III. Functions of order one-third

x.I 3y J13 () 3 ) ((X) I, arg H/1) (3) ex 11 3 (X) X

6-02
6-04
6-o6
6-o8
6.io
6-12
61I4
6-i6
6-i8
6-20
6-22
6.24
6-26
6-28
6-30
6.32
6-34
6-36
6-38
6.40
6.42
6'44
6-46
6.48
6.50
6.52
6-54
6-56
6-58
6-60
6-62
6.64
6-66
6-68
6-70
6.72
6-74
6-76
6-78
6-80
6-82
6-84
6-86
6-88
6-90
6-92
6-94
6-96
6-98
7'00

- oo0041490
+ 0-0023568
+ oo0088402
+ -I0152987
+ 0-0217298
+ 0-0281313
+ 0'0345007
+ 0o0408356
+ 0'0471337
+ 0'0533927
+ o00596103
+ 0o0657842
+ 0-0719I22
+ 0-0779920
+ 00o840213
+ 0o0899981
+ 0'0959202
+ 0-1017854
+ 0-1075917
+ 0'1133370
0Ig1190192
+ 0I1246363
+ 0o1301863
+ 0o1356673
+ o-I4I0775
+ 01I464147
+ 0I1516774
+ 0-1568635
+ O'6Ig9714
+ 0-1669992
+ O-I7I9453
+ 01I768080
+ o018I5856
+ 0.1862766
+ o01908793
+ 0-I953922
+ 0o1998139
+ 0-2041429
+ 0'2083778
+ 0-2125171
+ 0-2165596
+ 0-2205041
+ 0'2243491
+ 02280935
+ 0-2317362
+ 0-2352760
+ 0-2387118
+ 0-2420426
+ 0o2452674
+ 0o2483853

- 0-3248675
- 03243490
- 03237031
- 0-3229304
- 0-3220317
- 0-3210077
- 0o3198593
- 0-3185872
- 0o3171924
- 0-3156758
- 0o3140384
- 0.3122813
- 0o3104053
- 0-3084118
- 0-3063018
- 0-3040764
- 0-3017371
- 0-2992849
- 0.2967212
- 02940474
- 0-2912648
- 0-2883748
- 0-2853790
- 0-2822787
- 0.2790756
- 0-2757711
- 0-2723669
- 0-2688647
- 0-2652659
- 0-2615725
- 0'2577860
- 0-2539082
- 0-2499409
- 0o2458860
- 0-2417452
- 0-2375205
- 0.2332136
- 0.2288267
- 0.2243615
- 0-2198201
- 0-2152044
- 0.2105165
- 0-2057584
- 0-2009321
- 0o1960398
- g1910836
- o01860655
- 0.1809877
- 0.1758524
- O0I706616

'03248940
0-3243576
0-3238238
0-3232926
0-3227640
0-3222380
0-3217146
0-3211936
0-3206753
0-3201594
0-3196460
0'3191350
0o3186265
0O3181204
o-3I76I67
0'3171154
0-3166164
0-3161198
0o3156255
0'3I5I335
0'3146438
0'3141564
0o3136712
0-3131883
0O3127076
0-3122291
0311I7527
0'3112786
0-3108066
0o3103367
0-3098690
0o3094033
0-3089398
0'3084783
0-3080189
0'3075615
0-3071062
0-3066528
0-3062015
0'3057522
0-3053048
0'3048593
0'3044159
0'3039743
0'3035347
0-3030969
0-3026610
0-3022271
0-3017949
o030I3646

269~ i6' 5'89
270~ 24' 5 877
271~ 33' 51 60
272~ 42 44139
2730 51' 37'I2
2750o ' 291:8I
276o 9'22 46
277~ i8' 15'o5
2780 27' 7'60
279~ 36' o'1ii
280~ 44' 52157
28i1 53 44199
283~ 2'37'36
284~ II' 29!69
285~ 20' 21'98
286~ 29' 14122
2870 38' 6'42
288~ 46' 58'58
289~ 55 50'70
291I 4'42177
292 I3' 34180
293~ 22' 26:80
294~ 31' 18'75
295~ 40o 10'67
296~ 49' 2.'54
297 57 54!38
299~ 6'46'18
3000 15' 37'94
301I 24' 29'66
3020 33' 21' 34
3030 42' 12198
304~ 5I' 41'59
305~ 59' 56'16
30o7 8'47'70
3080 17' 39'20
309~ 26' 30'66
310~ 35' 22'08
3 I 44' 13'47
3I2 53' 41 83
314~ I'56':15
3150~ I0 47' 44
316~ I9 38'70
3I7~ 28 29'92
3I8~ 37' 21:II
3190 46' 12/26
320~ 55' 3!38
3220 3/54'47
3230 I2' 45':52
324~ 21' 36155
325~ 30' 27!54

0'5053717
0'5045509
0o5037342
0-5029215
0-5021126
0-5013077
0-5005066
0o4997094
0-4989160
0-4981263
04973404
0-4965582
0-4957796
0-4950048
0'4942335
0-4934659
0-4927018
0-4919413
0-4911843
0'4904308
0-4896807
0-4889341
0-4881909
0'4874510
0'4867145
0-4859814
o04852516
0'4845250
0o4838017
0-4830817
0-4823648
0o48165II
0'4809406
0-4802333
0-4795290
0-4788279
0-4781298
0'4774347
0'4767427
0'4760537
0'4753677
0-4746846
0o474004-5
0'4733273
0-4726530
0'4719815
0-4713130
0-4706472
0-4699843
0-4693242

6-02
6.04
6-o6
6-o8
6-io
6-12
6.14
6-I6
6-I8
6-i8
6-20
6-22
6-24
6-26
6-28
6-30
6-32
6-34
6-36
6-38
6-40
6.42
6'44
6.46
6-48
6.50
6-52
6'54
6-56
6-58
6-6o
6-62
6.64
6-66
6-68
6.70
6.72
6'74
6-76
6-78
6-80
6-82
6.84
6-86
6-88
69go
6-92
6-94
6-96
6-98
7-00

To compute functions of order - 1/3, increase the phase by 60~.