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

728

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

(1)/ \ arg ) (
x J/l3(x) Y1,3(X) I H () I) arg H /(X) e Kl 3(X) X
1,,,,,.,,,, i,~I,, I.,~:::r~~lPB,13 ~ 1.

v Ij I I I I I

14-02
14-04
I4.06
140o8
I4-10
14-12
I4-I4
14.16
14.18
14-20
14.22
T4-24
I4.26
14-28
14'30
14'32
14'34
14-36
14-38
14'40
14'42
I4'44
14'46
14'48
14-50
14'52
I4.54
14'56
14-58
14-60
14.62
14'64
14-66
14-68
14'70
I4-72
14'74
14'76
14'78
I4-80
14.82
14-84
I4-86
14.88
14-90
14-92
14'94
14-96
14-98
15-00

+ o021I9787
+ 0-2IOI933
+ 0-2093250
+ o02083743
+ 0'2073417
+ 0-2062277
+ 0-2050330
+ 0-2037580
+ 0-2024034
+ 0o2009699
+ 01994581
+ 0-1978687
+ 01I962026
+ o01944604
+ 0'1926429
+ 0O1907510
+ 0oI887856
+ 0-1867475
+ o0I846376
+ 0-1824569
+ 0I1802063
+ 0.1778868
+ 0'1754995
+ 0'1730454
+ 01705256
+ o'I6794I1
+ 0-1652930
+ I6258258
+ 0OI598I09
+ 01I569792
+- 01540886
+ -0511404
+ 0I1481359
+ 01I450763
+ 0-1419629
+ 0o1387970
+ 0'1355800
+ -I0323131
+ 0-I289979
+ 0-I256355
+ 0-1222275
+ 0-1187753
+ 0.1152803
+ o 01117439
+ 0-Io08677
+ 0-1045530
+ -01009014
+ 0'0972143
+ 0'0934933
+ 0-0897400

+ 0-0296652
+ 0'0338559
+ 0.0380272
+ 0-042I773
+ 0-0463046
+ 0-0504076
+ 0-0544847
+ 0-0585342
+ 0o0625547
+ o0o665445
+ 0-0705021
+ 0'0744259
+ 0-0783145
+ o-o821664
+ o0085980I
+ o-o897541
+ 0-0934869
+ 0'0971773
+ 0.1008236
+ 0o1044246
+ 0-1079789
+ 0-1114852
+ 0-II49420
+ 0-1183482
+ 0-1217023
+ 0-1250032
+ 0-1282497
+ 0oI314404
+ 0'1345743
+ 01I376501
+ 0-1406666
+ 0-1436229
+ 0OI465I78
+ o0I49350I
+ O-1521190
+ 0'1548233
+ O1574621
+ o01600344
+ 0o1625393
+ 0o1649758
+ 0'1673432
+ 0o1696405
+ 0-1718669
+ 0-17402I7
+ 0-1761041
+ OI78II33
+ o01800487
+ o-1819095
+ 01836952
+ 0oI85405I

0'2130541
0-2129024
0'2127510
0-2126000
0'2I24493
0-2122989
0-2121488
02I119990
0'2118495
0211I7004
0-2II5516
0-2114031
0-2II2549
0'2111070
0-2109594
0-2108121
0-2106652
0210I5185
0-2103721
0-2102261
0-2100804
0-2099349
0-2097898
0o2096449
0-2095004
0-2093562
0-2092122
0'2090686
0-2089252
0-2087822
0-2086394
o02084969
0-2083548
0-2082129
0-2080713
0'2079300
0-2077889
0-2076482
02075077
0-2073676
0-2072277
0-207088I
0-2069488
0-2068097
0-20667I0
0-2065325
0-2063943
0-2062564
0-2061187
0'2059813

728~ o' 13'52
729~ 9' 0o'26
730 17'47'00
73~ 26'33'73
7320 35' 20'46
733~ 44' 7'I8
7340 52'53'90
7360 I'40'62
737 10' 27':33
738 19' 14'o04
739~ 28' 0'!75
740 36' 47'45
741 45 34'I4
742 54 20W83
744 3' 7':52
745~ II'54'21
7460 20' 40'89
7470 29'27'57
7480 38'1I4'24
749 47' o'9I
750~ 555 47'58
7520 4 34'24
753~ 13' 2090
754 22' 7/55
755 30' 54'20
7560 39' 40'85
7570 48' 27'49
7580 57' 14'13
760o 6' 0'77
761~ 14 47'40
7620 23' 34'03
763~ 32' 20!65
7640 41' 7'27
7650 49' 53'89
7660 58' 40'51
7680 7' 27'12
769~ 6' 13'73
770 25' 0'33
77I~ 33' 46'93
772~ 42' 33'53
773~ 51' 20'I2
775 0' 6'71
7760 8 53'30
777 17'39'88
7780 26' 26'46
779~ 35' i3'04
7800 43' 59'6I
781 52' 46'18
783 I' 32'!75
784 10' 19'!31

0'3331244
0-3328892
0-3326546
0-3324204
0-3321867
o03319536
0-3317209
0'3314887
0'3312570
o033I0257
0o3307950
0'3305648
0o3303350
0'3301057
0-3298769
0-3296485
0-3294206
0'3291932
0-3289663
0-3287398
0-3285I38
0-3282883
0-3280632
0-3278386
0.3276145
0-3273908
0-3271676
0-3269448
0-3267225
0-3265006
0-3262792
0-3260583
0'3258378
0-3256177
0'325398I
0-3251789
0-3249602
0'3247419
0'3245240
0-3243066
0-3240896
0-3238731
0-3236570
0'3234413
0-3232261
0-3230112
0-3227969
0-3225829
0-3223694
0-3221562

I4-04
I4o06
I4-08
I4-IO
I4'I2
14-I6
14'18
14'20
14.22
I4'24
14'26
I4-28
14'30
14-32
I4'34
14'36
14'38
14-40
14-42
14'44
14.46
14'48
I4-50
14.52
14'54
14-56
14'58
14'60
14.62
14-64
14-66
14-68
14-70
14.72
14'74
14.76
14'78
I4-80
14.82
I4-84
14-86
I4-88
14-90
I4-92
I4.94
14-96
I4-98
15-00

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