640 



[W] = 2jt [A"] + 



+ (2 )t^""' ^'3 ['"'''/ J + (2 )^^'""' ^'J ^'''' ^'^J + 



.(11) 



, 6 



+ . . . . 



Il" we write : 



At=2A^A^, ^1, = 1 — 'dcos-6^ j- 



B = UB,B,, B^^sinê^co^d, ' . . (12) 



tlien 



[Ai'B-2iO]~2i'+^^i\[A,i'B^-^'i C/]\' . . . . (13) 

 where tlie square brackets in the second member now refer to &^ only : 



(P + ? + '•)■' 



sin e, dS 

 One iuids 



L4,/'ö/^'/fV| = 2/'+7+'-+i 



(2)c i 45 + 2r+l)(2p + 4g+27-— 1)...(29^- 1)/ 

 l,\ 2q^-\ ^(p\ (2^ + l)(29 + 3) 



\) p + gt'- \2y(p4-? + r)(p + ^+r-l) 

 froin which forinuia also the special cases: [.li^'J. [.li^'oi'?] etc., 

 may be derived. 



Of these expressions [.li''] can be calculated more easily from 

 the following relation : 



2/'+! 2» 



