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

TABLES OF BESSEL FUNCTIONS

731

Table IV. Values of J (x)
x Jo (x) J1 (x) J2() J3 (X) J4 () J5 ()
I + 0o765198 + 0-440051 + 0114903 + 0o019563 + 0002477 + 0-000250 I
2 + 0-223891 + 0-576725 + 0'352834 + o0I28943 + 0-033996 + 0-007040 2
3 - 0-260052 + 0-339059 + 0-486091 + 0-309063 + 0'132034 + 0-043028 3
4 - o397150 - 0-066043 + 0-364128 + 0-430I71 + 0-281129 + 0-132087 4
5 - 0'177597 - 0O327579 + 0'046565 + 0o364831 + 0391232 + 0-261141 5
6 + 0150645 - 0-276684 - 0-242873 + 0114768 + 0-357642 + 0-362087 6
+ 0-300079 - 0o004683 - o301417 - 0 67556 + 0'I57798 + 0-347896
+ 0~171651 + 0234636 - 0-II2992 - 0-291132 - 0-I05357 + OI85775
9 - 0090334 + 0.2453I2 + 0144847 - 0OI80935 - 0-26547I - 0'055039 9
IO - 0-245936 + 0-043473 + 0-254630 + 0.058379 - 0-219603 - 0-234062 Io
11 - 0.171190 - 0176785 + 0139048 + 0-227348 - OI015040 - 0-238286 II
12 + 0.047689 - 0.223447 - o.08493~ + 0I95I37 + 0 182499 - 0.7347I 12
x J6(x) J7(x) J8(X) J9(x) Jo(X) Jll(X)
I + 0'000021 + 0'000002 ----- I
2 + 0001202 + 0'00175 + 0-000022 + 0'000002 -- 2
3 + -OII394 + 0-002547 + 00004-93 + o-o00084 + 0-00OOI3 + 0*000002 3
4 + 0049088 + 0015176 + 0004029 + 0000939 + 0000195 + 0~000037 4
5 + 0131049 + 0053376 + 0018405 + 0005520 + 0001468 + 0-000351 5
6 + 0-245837 + 0o129587 + 0o056532 + 002II65 + 0oo006964 + 0002048 6
7 + 0'339197 + 0'233584 + o-I27971 + 0-05892I + 0023539 + 0oo008335 7
8 + 0.337576 + 0O320589 + 0-223455 + 0O126321 4 o0o60767 + 0'025597
9 + o*2043I7 + 0-327461 + 0'305067 + 0O214881 + 0O124694 + oo062217 9
10 - 0014459 + 0-216711 + 0-317854 + 0*291856 + 0o207486 + 0-123117 IO
II - 0-201584 + 0-O18376 + 0.224972 + 0*308856 + 0-280428 + 0*201014 II
12 - 0-243725 - 01I70254 + 0.045095 + 0-230381 + 0'300476 + 0-270412 I2
X J 2() W (X) J (X) Jl (X) J16 (X) J17(X) W
4 + o-ooooo6 + o000ooooo0001 4
5 + 0-000076 + 000015 + 0000003 - --- 5
6 + 0oo000545 + 0-000133 + 0000030 + ooooo00000o6 + 000000 -- 6
7 + 0002656 + 0000770 + 0-000205 + 0-000051 + OO000012 + 0-000002 7
8 + 00oo09624 + 0-oo003275 + 0-I001019 + 0000293 + 0000078 + ooooi000019 8
9 + 0o27393 + 0-010830 + 0-003895 + 0001286 + oo000393 + 00OOOII2 9
IO + o.o6337~ + 0o028972 + 0II11957 + 0.004508 + 0-001567 + 0-000506 io
II + 0121600 + o0064295 + 0.030369 + O013009 + 0-005110 + oo001o856 ii
12 + 0-195280 + 0120148 + o-o06504~ + 0031613 + 013991 + 0 005698 i2