356 Mr. J. W. L. Glaisher on 



and the following formulge 



7i(u + v) . =Zu + Zv — W snttsnv sn (u + v), 



rz f i -Trr\ 1 i rz , Witt dn tt 



Z(tt + iK') = — i +Zw + , 



K sntt 



From these we obtain the following table : — 



Values of Zu. 



[Nov. 20, 



u. 



ZjU. 





-i(l-if) 





t 7/77" 1 ^ — »v 





K 



JiK' 





K + iiK' 







-1^-^(1+*) 



K+f*K' 









f-K+^K' 



-iJ-'K*-*") 



±K + f*K' 



-f-J+iP-*) 







