15 



For F^^ii), a term must vanish unless this product is of the form sin^ s\ or cos^ sX. For the 

 other two components, there is an additional factor, cosX or sinX. Those terms with cosX 

 vanish unless the above product is of the form sinsX sin(s+l)X or cos s Xcos (s + 1)X, Those 

 terms containing sinX vanish unless the product is sin sXcos(s + l)X or cos sXsin(s +1)X. 

 The components can now be reduced to: 



where 



<'f'J+, <"=, 



., jfi^-,')>'*''K»Pl-^ 



[29a] 



(dP^ dP'^\ 



d^i dfi ' 



F,Ai) 



^i 2^ 2^^('^K.,< 



+ 1^ h^ A«+l 



^:+i^r')/„rs>«+i) 



^.rs;K:\< + 6::i6^)/„rs + i. s) 



[29b] 





■2^,is)(aix\ K-KX\<)K(^^^^^) 



[29c] 



■q{<d) = 2; T]{s) = 1, s> 



