( 352 ) 



then we easily find 



=;.(.) =;.(0) 





nisi. 



and 



r(0) 11 1/11 1\ 



/(O) n w — 1 1 \1 2 sj 



therefore 



R=^ ^ = ^ ƒ (« + 2,6") 



n! 5=0^/(^+5+1)/ 7i/(n + l)/ '^ ^ ^ ' 



1 « (_l)s(^_,)/ (_l)«62„+2 



^i / 5=0 



62s 



s! 



n ! (/? + l)/ 



62«+2 00 ili(l+5)62s 

 _(_l)n _ ^ ^\ ^ > 



n! s=^s!{7i^s^\)! 

 For the evaluation of C'o and Cj we have 



1 



r(-n— l + f)=: 



— n — 1+f 



r(-n+8) , 



r(-n + a) = — — r(-n + l+6) , 

 — n + e 



r(-2+.) = 



r(-l+a) = 



1 



— 2 + f 

 1 



-1 + 6 



SO 



r(-n-l + f) 



r(-l+6), 

 r(e), 



(_l)"+i 



Assuming 



(n + l_s)(n-f)...(2-.~8)(l-f) 



(;^_|_l_,)(,,_e)...(2-,)(l_6) 



r(e). 



1+6 h • • • 



then 



ft'(O) 



(rz + l), 



whilst 





r(8)r=P(6)+Q(6) 



