1922. \o. 13. ON A SPECIAL I'OLVADIC OF ORdER II— p. 



53 



and the second 



;i8) 



Cn 



fl 



1 1 





d 



c X, 



= — curl a.j • C\i 



whereby our theorem (15) is proved. 



Let a be any fixed integer of the set 1, 2, ... . ;/. Then applving 

 § 8 (4) we get: 



(19) 



\ <= Xa) c Xa 3 .Va 



and b}- summing all the expressions of this form we get : 



(20) Ü X«- 2 (V X a) = - (;/ - 2)! \? • (V a - a V) 



and from this, putting V = e,-: 



e, X" -'iV X ai = --(// - 2\\ 



Sa 



y <ii 



which can be regarded as a particular case of § 9 [23). 



Horten, Norway, Jul\- 1922. 



