De usu St btb action is etc. 523 



Ponatur in primis r = m — 1, el habcbimus 



[lO)-+- \-1i'"^}—m=0 , 



et hinc 



(a) [lO)^-... -4-1 ("<)]=:,«. 



Praeierea si fiat r = m — 2, proveiiict 



[l (1)^.... -Hi (»-i)]_m[l 0.^-4-. .!h-1 ('"-1)]-<_^-!!!lll^=0 ; 

 •t 



et ideo cum sit [ 1 C^^-i- . ..-Hi('"-^)]=m — 1, obtinetur 



(i) [l(i)_t...'.Hi(«.-i)k^l^^=l\ 



1 .2 



Posito r = 7n — 3 , exsurget 



[^ 1 m r 2 ^ 



10)-H...-f-1('"-2)l -rKO-f-.-.-j-K^-z)! 



■H^^^[l(i) ...Vl(.-2)]_ -(-"-^)(— 2) _o 

 1.2 1.2.3 



E formula (*) , subrogato 7« — i in locum m , assequemur 



1 .2 ' 



et 6 formula (a), substituto m — 2 loco m, habcbimus 



[l(0-H...-l-1('"-2)]=/7i— 2. 



Ex his, peractis subslitutionibus ac reductionibus, erit 



^^ -^ 1.2.3 



Ponatur r=in — 4, et ideo prodibit 



h (1).+.. . ._h1(™-3)]— -^ Fl (1)-H. ..H-1 (-"-^ll^^^lZ^^fl (,^ 



m(m-1)(;n- 2)^^^, ^ ^^ ^,_,-| ^ ;»(.,-1) (^-2) (/>.-3) _^ 



Sume formulam (c), atque loco m subslitue m-^i , ac erit 



