1254 
$ da 
be ee =e ear J, (2a) 5 
0) 
a 
If n=O, the first member has no meaning, as ¢@_—, (1) has not 
been determined. The second member however reduces to 
ke} = ] on 
fe ij VO de fer J, (2e) de = 
a 
Vv 
0 
iat ENA 
=e a Jy 2 e 4—=e—l=a, 
[Niersen, Handbuch der Theorie der Cylinderfunctionen p. 185 (7)]. 
By applying again the equation (10), we have 
da 
forens V Bx)dp. 
a 
0 
et+1 4 oa 
[Pn—11) — pull) ple) = (n fees Ve) 
0 
and by summation from n=O to n= %, as 
co pn on TS 
= (nl)? == ip ea ey 
oo 
Ea 5 bne = ms 
Saplaaet fe, Va) fee J, (21 aB) J, (2V Be) dp. 
0 ce 
0 0 
Putting 8* instead of @ in the latter integral, this reduces to 
2 fr J, (2i8V a) J,(2BV «) BAP = et +2 J, (2 az) 
0 
(NierseN p. 184); thus 
le a} 
det 
Di 
een J Wax) J. (2 aS 
Sanita (2) J AV a0) J, Va) 
a 
or, changing « into Bi 
Sanpn (x) = |J, (aa) J, (a) da. 
: 0 
The second member of this equation has different values according 
to the value of a, for 
