SEMAINE D'ÉTUDE SUR LE ROLE DE L'ANALYSE ECONOMETRIQUE ETC. 
93 
All these expressions remain unchanged if, with n being 
any positive number whatever (not necessarily an integer), 
we have 
(521-11) 
B(9)= 
b 
T(n 
where I'(n) is the function Gamma ( 
The Value of the Functions 3(0) and +. 
522. For given ® and small ¢-¢, © differs little from &, 
and from relation (521-2) we see that | is greater * - 'ar~. 
values of w. It follows that at infinity, for given 6, “ ern- 
7(6) take smaller values as » becomes larger. The .. ‘3! 
increasing # is therefore to concentrate the masses > 
around the average values ©. 
D 
‘ 
a WS 
bm 
Ab, 
Naturalis 
. DEeCcoIr 
1.7 
Allais - pag. 235