( 353 ) 



11 11 



ï+e "^ 27 



1 1 



6 i-fe '^/2 + £ 3/3-f€ 

 1 111 



e 2/2 4 /3 4 .4 



If we 110 notice that 



—1 



+ .-. + Q(«) 



Q(0) =. f— c/.f = - f-^ = - //(e-') 



1 o 



and tliat out of the well known formula 



A" 



follows 



t?7 *C 



Zi(é-n = — ü«(l) 4- Ig.v — ,v 4- — -1 



V / ^\ J -r y '2/2 3/3 4/4 



111 

 li(e-^) = — th(l) —I A 1 



2/2 3/3 ' 4/4 



then it is evident that 



r(.)rr:- + lf'(l) + ..., 

 8 



from which ensues 



C„ = 



(-1)"+' 

 (n + l)/ 



i-l)n+l 



SO 



Moreover we find 



D, = — 262"+2/^6 



and finally 



/(n + 2-8,//)=^ - 



62s 



:=o s/(« + 2— £)(n-f3— g) . . . (n-f 5 -t-l— f) 



If again we put 



(;i_^2— f)(w4-3— 8) . . . (n+s + l — 8) 



we find 



1 



r(0) = — 



^ (;i + 2)(n + 3)...(n + .-hl) 



r(0) ?i-\r^ '^ + 3 "^ ' ■ ■ 

 so that 



= v{e) = r(0) 



l + f h 



^^], 



n-\-s-\-l 

 Proceedings Royal Acad. Amsterdam. Vol. VIII 



24 



