( 602 ) 
ie 2) 
dt 
Va (t2—1) log t ’ 
Cc 
it appears that we may replace it by 
0 
(2 + s) (®@—1)!+48 loge’ 
where @ is positive and less than unity. 
Hence the preceding equation for Gs(¢) can be written 
0 
= ly bb) | ey Se 
(2+s) (2—1) FE loge 
&— 
pacts es (£ log ©) (5 Ww 1 ee loge) 1 | 
B 
loge Le 2 2 loge by aa KE 
and in particular we have for s= 0 
. 2 
Gy () = — log 2 + Lie) Dae ee 
rd Ee, Ze 5 \ 520" (9 log e) 2 hos “| 
log cl @ [3 2 log c/ (2? ge (23 
In these equations we have got expressed as trigonometrical series 
the terms the occurrence of which makes it nearly impossible to 
arrive at a direct and complete determination of either Gs (c) or 
G(c). All we know about these series, is that 
1 
5 08 ((2 log c) a sa es 
5 fs s (3° 
converge unconditionally and that their values are rather small, 
because we have 
1 1 
=>— =— 0.023105, 2 — < 0.002. 
ep RT = 
Further, that 
sin (f log c) 
2 [2 
is a discontinous function of ¢ suddenly changing its value, each 
