(535 ) 
(thus in the manner followed by yourself), by separating of the real and 
the imaginary parts of the formula thus arrived at, the two equations 
2 vl 
oo 
f- cos (t cos p cosy) I : (t sin p sin w) I’+™ (t) dt 
vt a) 
0 
2 v_—l 
maz 1 A= 
=[2 Uylen pain p) © sin f= 
(24+ y) (2a) Cy, (008 9) ©, , (os w) 
W(244+-2v—1) (vy—m)?—(v 4+ 2A) 
2¥-1 
oo 2 
f sin (t cos p cos w) I (¢ sin p sin w) L'+m(t)dt _ 
yt | 
0 
2v—1 
— [2” U (v—1)]? (sin @ sin w) 90 — 
7 
(lv HDA) Congr CSP) Co, Cos w) 
H(2A +27) (y 2A H ID Hm) 
First suppose m = 2r = even; then 
2¥—1 
oo 
ef cos (t cos p cos w) L 3 
(ésing sin pp) Lt2rtt (t)dt 
vt & 
0 
2v—I1 
== (—1)y [2’- hI (v—1) (sin p sin w) > 
(27) 
11 (27 + 2y—1) 
en Ld ¥ 
| a; C (cos —p) C{cos W) 
