Al. a. Tchouproff 
289 
Similarly we find 
1 
(0 / (')^ 
N-^ \n r=x 
1 ^ 
+ 
(2) Introduce the notation, 
7t=0 
-3 (is 
.(4). 
(0 
/t = 0 
(5). 
1 (z) h 
Z(h,; N) = ^(4^, = (- 1)'' C^A;,. "^[1, A'] 
7t=0 
Noting that iJ'"{r,N) is the arithmetic mean of the mutually independent 
quantities 
[Z/ - ,v]]'', [AV - AT]]'', . . . [X'l^ - mix, n-\Y, 
we find 
1 •'^ (/) 
[-3] 
[■^(f, iV)]'"' 
-3 As ^1 
- (6). 
1 AT ,■^ 
III 
(1) Put 
2 (-i/c',H/-."']v;; 
;j=o 
(A- -A) r 
1 -"^^ 
