25 



ItJ nTT 



1 p /?.^ ($^$„sin sin X + $^$^ COS COS \)c?et?A 

 •^ o •' o 



c» r n-l 



n=l L s=o 



+^ ^(s) « &"r' - ^: <"0 ^„r«. s + 1) 



s=o 



j p ff? (-<t)fl$„ sin 5 cos X + ^)^^n ^°^ *^ ^^'^ \)dddX 



o •> o . 



~ r n-l 



n-1 



[59 b] 



n = l {_s=o 



[59c] 



where r](s) has the same meaning as before, and 



1 I r ^ds + 1 



•^-1 I L ^^ (^,zj 



+ [nis±l) + s(n + 1)1 P^ P^-1 ^ 



Evaluating these integrals, (see Appendix 1), we find that 



/rr;^ 



1.(0 = [i X F^(i). i]- 2.p^^ r< 5^ - &: <)« .^^^ 



[60a] 



«ir(0 = 



r. X Fj(i) . j 





[60b] 



" " " "^(„_s-l)! 



