586 



tliiu 



r(m— ;i+i) 



(— 1)'". ^-^" 





Fiii'tliei' iMisiies 



1 1 /.-i - r(n+;.— 1) 



q{y) r{\-iy ^ ''^ r{\—).)r{).) u^ ^ n! ^ ^^ ' 



so tlial 



_{l-\)sin )..i (-1)' r(//+A— -1) _(;i— !)«;// A.T (— i)" c" 



n n! ' " :t n!{n-{-K — I) 

 aiui therefore 



{X-\)sinl:t , ^^(-l)"(^^^•)•' 



3t O ??/(n-l-^ — 1) 



to which SoNiNK gives anotlier form, which is, liov/evcr, not coriect. 

 It woiihl be better to write for it : 



a {.,') = 



sin ?.jr 



1 



,.1-; 



(1-A) v(__i). 



.„ ,^«+;-i 



.«-•'-' 1 y//(n4-A— 1) 



for indeed it is now again evident that for c ^ we find if' and o 

 assuming the form as in § 1. 



Substitution of if' and a in [[(f) and (l/>) (Sonine leaves this out) 

 now gives : 



X 



a 



with 



.m A.T r f' (S,) (1 -/) dn Ltf' \ « (-l)"c''(a,-§)»+>- 



rr J (.ï^- —$)'-' -T J ( 1 iif{n-}-X—l) 



</l 



As 1 > A >« and /{a)=^0, we find that by means of partial 

 integration tiio last integral passes into : 



/(5)^(-i)"-^— ^:^ Us, 



J 1 nl 



so that 



H(..) = 



sin;..T r /(5) (1— A)smAjr fe-^a:-!)— 1 



That (4^/) and (4//) do not stand for anything new, we shall 

 immediately see by substituting 



