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

726

TABLES OF BESSEL FUNCTIONS
Table III. Functions of order one-third

J1i/3(X) YI/3(X) I () argH x) eK (x) ) x
if/l/3 (;) 1/ 3 -

12'02
12-04
12o06
12'08
12'10
12-12
12.14
I2-I6
12.16
12.18
12'20
12-22
12'24
12-26
12-28
12-30
12-32
12-34
12.36
12.38
12-40
12'42
12'44
12.46
12.48
12-50
12.52
12-54
12-56
12.58
12-60
12-62
12:64
12-66
12-68
12-70
12'72
12.74
12.76
12.78
12-80
12'82
12.84
12-86
12-88
12-90
12-92
12-94
12'96
12-98
13-00

- oo0658652
- o-o6139o1
- 00o568980
- 0-0523905
- 0-0478696
- 0'0433371
- 0-0387947
- o00342443
- 0-0296877
- 0.0251267
- 0-0205632
- 0o0159989
- o-0114356
- 0-0068753
- 0-0023196
+ 0-0022296
+ o00o67705
+ 0-0113014
+ 00158205
+ 0-0203259
+ 0.0248159
+ 0'0292889
+ 0'0337429
+ 0-0381763
+ 0-0425874
+ 0-0469744
+ 0-0513356
+ 0-0556694
+ 0o0599741
+ 0o-642479
+ 0o0684894
+ 0o0726967
+ 0-0768684
+ 0o-810028
+ oo0850983
+ 0-0891534
+ 0-0931665
+ 0-0971361
+ 0-1010607
+ 0I1049388
+ 0-1o87869
+ 0-1125496
+ o'1162795
+ 0o1199571
+ O-1235811
+ 0'1271502
+ 01I306629
+ O-I341180
+ 0'1375142
+ -I1408503

- 0-2204540
- 0'2215437
- 0-2225430
- 0-2234519
- 0-2242700
- 0-2249971
- 0-2256333
- 0-2261782
- 0-2266320
- 0-2269945
- 0.2272658
- 0-2274458
- 0o2275347
- 0.2275326
- 02274397
- 0.2272560
- 0-2269819
- 0-2266176
- 0-2261634
- 0-2256196
- 0-2249866
- 0.2242647
- 02234544
- 0.2225562
- o02215705
- 0-2204979
- 0-2193390
- 0'2180943
- 0-2167645
- 0-2153502
- 0.2138521
- 0-2122710
- 0-2106077
- 0-2088628
- 0-2070373
- 0.2051320
- 0-2031477
- 0.2010854
- oI1989460
- o-i967305
- 0o1944399
- 0.1920752
- 0o1896374
- 0.1871278
- 0-1845472
- 0O1818970
- 0.1791782
- 0.1763920
- 0o1735397
- 0o1706224

0-2300830
0-2298920
0-2297015
0-2295114
0-2293219
0-2291327
0-2289441
0-2287559
0-2285682
0-2283809
0-2281941
0.2280078
0-2278219
0-2276365
0-22745I5
0-2272670
0-2270829
0-2268993
0-2267161
0-2265333
0-2263510
0-2261692
0-2259877
0-2258067
0-2256262
0-2254460
0-2252664
0-2250871
0-2249082
0-2247298
0.2245518
02243743
0-2241971
0-2240204
0-2238441
0.2236682
0'2234927
0-2233176
0'2231429
0-2229687
0-2227948
0-2226214
0-2224484
0-2222757
0-2221035
0'2219317
0-2217602
0-2215892
0-2214I86
0-2212483

6130 21' 55/'43
614~ 30' 42/969
6I5~ 39' 29'/93
616 48' I7I7
6170 57/ 4/:4 -619~ 5 5I':64
6200 14' 38'86
621~ 23' 25-08
622~ 32' 13/'29
623~ 41' o'50
624~ 49' 47/7~0
625~ 58' 34'89
6270 7 22'08
628~ 16' 9'26
629~ 24' 56'43
63~0 33' 43'60
631~ 42' 30'76
6320 51' I7':92
634~ o' 5'o07
6350 8'52'21
6360 17/ 39'35
637~ 26' 26'48
6380 35 I3'61i
639~ 44, O"73
6400 52' 47':84
642 I' 34'"95
6430 10' 22'05
644~ 19' 9,15
6440 I9 9'15
6450 27' 56'24
6460 36' 43"33
6470 45' 3o'4I
648 54; 17'!49
6500 3 4'156
6510 II 51!62
6520 20' 38''68
6530 29' 2573
6540 38' 12:78
6550 46' 59'82
656" 55 46'!86
6580 4 33"89
659~ 13' 20' 92
6600 22' 7'94
661i 30' 54'96
662~ 39' 41'97
663~ 48' 28'97
664~ 57 I15'97
6660 6' 2"96
667~ 14' 49':95
668~ 23' 36"94
669~ 32' 23':92

0-3594968
0-3592013
0-3589065
0-3586125
0-3583191
0-3580265
0'3577346
0'3574434
0'3571529
o03568631
0-3565741
0-3562857
0-3559980
o03557II0
0'3554248
o'3551392
0-3548543
o'3545700
0-3542865
0-3540036
o03537215
0'3534400
0'353I59I
0-3528790
0o3525995
0-3523206
0-3520424
0'35I7649
0o3514881
0-3512118
0o3509363
0-3506614
o03503871
0o350II35
0-3498405
0-3495681
0-3492964
0-3490254
0-3487549
0-3484851
0-3482159
o'3479473
o'3476794
0-3474120
o'3471453
0-3468792
0-3466137
0'3463488
0-3460846
0-3458209

12'02
12-04
12.o4
12-06
12'08
12'10
12'12
12-14
12-16
12.18
12'20
12'22
12-24
12-26
12-28
12-30
12'32
12'34
12'36
12-38
12*40
12'42
12-44
12-46
12.4.8
12-50
12-52
12'54
12-56
12-58
12-60
12.62
12.64
12.66
12-68
12-70
12.72
12'74
12.76
12.78
12'80
12-82
12-84
12.86
12-88
12'90
12-92
12.94
12-96
12-98
13-00

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