840 
It has been understood that formula (1) holds good for n= n,, 
consequently for the functions /, and /, and according to the 
first lemma of this paragraph we have 
Ve |F (d;)| > 
2 aaa == O (a ); 
diest as 
a= dm 
Ve |F(d,)\ log d, 
5 5 = 0 (a,"—! log a) 
nil = 
=] dm 
and 
Vz F(d) av 
3 ee eeen ee ee 
di 1 mn, 
dk d m 
where 
Eee 
h(n—l)! wat a 
v,2m==l, vm 
Hence 
1 1 
aa am we Mt-nad (ane mtng—=? 
fh id 3 2 | 0 4 
== 
mn, log « log x 
Ì 1 
2 an jy o—1 os ° 5) . . 227 — 
ve b*mn, at x titre 5 = VACHIAG a4 LO gm yt 2 
Se ae ee Pa and — lc — |. 
h?n,! n,/ log ir nl es 1 log a 
vs, "Sl, vast =l, (v,0,)" 
The value of 7, is found by interchanging 7, and n, in this 
formula and as according to our supposition relation (1) holds good 
for n=n,:and for n=n,, we have 
1 
x Pens an Wam (log log am! 
T‚= > F(a) =0( OO 
B og Vx 
bt wv? (log log et 
ae log a 
1 
, z2m (log log x)"2—1 
Tai) ( ( ag bog a)” —) : 
log x 
and 
By substituting these values for 7, 7, 7, and 7’, in (4), we find 
the formula 
