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

714

TABLES OF BESSEL FUNCTIONS

Table III. Functions of order one-third

XY | T \ | Y ( \ | I H ( \ I r- (1 ) r (1 )
X- J1/3 ('X) Yli3 (z) I H1/3\X) I arg E-1/3 (x) exKul(X),

0
0'02
0-04
o-o6
o-08
O'IO
0'12
o0.14
o-I6
o-i8
0-20
0-22
0-24
0-26
0.28
0-30
0-32
0'34
0-36
0-38
0-40
0-42
0'44
0o46
0-48
0-50
0'52
0'54
0-56
0-58
o-60
0.62
0o64
o-66
0-68
0-70
0'72
0'74
0-76
0o78
o'80
0o82
0o84
o-86
o-88
0-90
0.92
0-94
0o96
o-98
I OO

0*0000000
+ o02412455
+ 0-3038819
+ 03477275
+ 0-3825227
+ 0o4117819
+ 0o4372223
+ 0-4598264
+ 0.4802143
+ 0'4988049
+ 0.5158967
+ 0.5317088
+ 0'5464087
+ 0-5601271
+ 0-5729677
+ 0-5850148
+ 0'5963375
+ 0o6069935
+ 0-6170312
+ 0.6264920
+ 0-6354112
+ 0-6438195
+ 0-6517435
+ o06592067
+ o-6662297
+ o-6728308
+ 0o6790265
+ 0o6848313
+ o-6902585
+ 0.6953202
+ 0-7000271
+ 0-7043893
+ 0-7084159
+ 0-7121152
+ 0'7154951
+ 0-7185627
+ 0-7213248
+ 0-7237876
+ 07259570.
+ 0-7278387
+ 0'7294377
+ 0'7307591
+ 0o7318076
+ 0:73258'77
+ 0o733IO37
+ 0'7333598
+ 0-7333600
+ 0'733Io80
+ 0-7326077
+ o073I8627
+ 0-7308764

- o00
- 3-8818574
- 2-9641628
- 2-5398832
- 2-2665744
- 2-0682566
- I-9140I02
- I17884275
- I 6828031
- I*5917752
- 15118289
- I14405408
- 1.3761797
- 1 3174682
- 1.2634392
- I-2I33449
- 1-1665964
- 11227224
- 1I0813409
- 1-0421378
- Io0048529
- 0-9692681
- o0935I99I
- o09024892
- 0-8710041
- 0o8406278
- 0-8112601
- 0-7828134
- 07552112
- 0-7283861
- 0-7022788
- 0o6768367
- o-6520129
- 0o6277661
- 0o6040589
- 0-5808580
- o05581337
- 0-5358591
- 0-5140100
- 0-4925646
- 0-4715032
- 0-4508080
- 04304628
- 0o4104530
- 0-3907653
- 0-3713877
- 0o3523093
- 0-3335201
- 03150111
- 0-2967741
- 0-2788016

o00
3-8257712
2-9796989
2'5635758
2-2986264
2-1088503
1I9633131
1I8465950
1'7499806
1i668099I
I 5974279
1'5355364
1 4806867
I 43I5952
1'3872889
I'3470I45
I 3IOI777
I12763020
1'2450002
I'2I59537
1I1888973
1-1636083
I-1398978
II176047
I'0965902
I 0767342
I1o579319
I 0400917
I'*23I329
10oo69839
0-9915813
0-9768685
0o9627948
0-9493146
0-9363868
0-9239742
0I912043I
0-9005629
0o8895054
0'8788453
o08685590
o-8586249
0o8490233
0-8397359
o08307458
0-8220374
0-8135962
0-8054086
0'7974623
0-7897454
0-7822472

- 900
- 86~ 23' 4"'72
- 84 8' 4763
- 820 12' I5/'40
- 80~ 25' 4''29
- 780 44' 23'!54
- 770 7/ 57':2
- 750 34/ 5I'I6
- 740 4 23'06
- 72 36' 3'21
- 7~ 9' 29'88
- 69~ 44' 26'!57
- 68~ 20' 40'/45
- 66~ 58' I':30
- 650 36' 20'!8I
- 64~ 15' 32I7
- 62~ 55' 29'69
- 61i 36' 8'57
- 60 I17' 24':70
- 580 59' I4'57
- 570 41 35'I3
- 560 24' 23/'72
- 55~ 7 38o0I
- 530 51 155'93
- 520 35, 15'65
- 51 19 35':54
- 50o 4 4''I4
- 480 49' 10oI4
- 470 34 22':35
- 46 19 49'69
- 4-5 5' 3I20
- 430 51 25'!98
- 420 37' 33:23
- 41~ 23 52':I9
- 400 I0' 22'I19
- 380 57' 260
- 37~ 43' 52'!84
- 360 30' 52'38
- 350 i8' 0'72
- 34~ 5/ I7'4
- 32 52'42'0o
- 31 40' 14'12
- 30~ 27' 53'39
- 290 I15 39':47
- 280 3 32/o02
- 260 51' 30'76
- 25~ 39' 35'39
- 240 27 45/'66
- 23~ 16' I'32
- 220 4 22'I2
- 200 52 47'84

o00
5-8973367
4'5650965
3'9129445
3'4996127
3-2048056
2'9795927
2-7996089
2-6511003
2-5256038
2'4175728
2-3231916
2'2397331
2-1651865
2-0980307
2-0370894
1-9814363
I 930330I
1-8831690
18394-587
I 7987884
1I7608136
I 7252429
1I6918274
1I6603536
1I6306366
16025156
I-575850I
I-5505163
I15264049
I 5034188
1I4814718
I-4604863
I'440393I
1.4211296
1 4026393
1.3848710
1'3677782
I 3513186
I'3354533
1.3201469
I 3053670
12910835
1.2772690
I 2638979
I12509467
1.2383936
1.2262184
I12144022
I12029275
11917780

0
0-02
0-04
o-o6
o-08
0I12
0-14
o-i6
o-18
0-20
0'22
0o24
0-26
0-28
0-30
0-32
0'34
0-36
0-38
0-40
0-42
044
0-46
0o48
0o50
0'52
0'54
0-56
0-58
0o60
0.62
0o64
o-66
0o68
0o70
0.72
0'74
0-76
0-78
o-80
o-82
0-84
o-86
o-88
o0-90
0-92
0-94
0o96
0o98
I 00

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