844 
From these definitions it appears that the parameters of F, are 
equal to m and n,, of /, to m and n, and of F, to m and n—1, 
so that now only relation (5) is to be proved and in order to do 
this, we distinguish 5 cases: 
fs Cu > m3 
then we have 
U U 
and the quantity 
SF (d) F, (5) (1) : 
du d d vy 
comet O4 PN | 
divu 
is according to the preceding lemma equal to 0 (v,“) and therefore 
/ 
Fi OE. ($)= O (vu?) — O(vy"). . (6) 
ad 
(n,-+n,)! diu 
== ((), (F, (%) js 
2. eu = M, auSn—l; 
then we have 
= py pat Eb ee Pa m Vu 
u 
and 
: u 
= Bn (d) re (5) == Ove t 
d'u d d'u 
=—0O = MRE! 
dip." pt. Pa,” div, 
LO (ef) 
so that the relation (6) holds good in this case as well. 
on Ei tt Ou SSR: 
in this case we have 
UP pa. + «Pn! Vy 
and 
Flu) =F (vy), 
where at least one of the following conditions is satistied, d representing 
: Een 5 5 ne u 
any arbitrary divisor of « and d’ being subsiituted for = 
a) el Z m, 
b) el Z m, 
eee op 
d) 6a == M; ar > n,, 
e) oled Ma ad =n, 
In the first four cases we have 
