184 Miss Dorothy Wrinch on a Generalized 



and useful results in other cases such as 



, Mr r nri+« s 



uni+«. (2ot ) » ^ 



r o ucos lT / . 27T 27T5 r \~| 



x ^ M + 2e ? cos I u sin — I h 



when ?- is 4, 5, 6, or 7, and in the case of r = 8 



7 



1 » 



X 



< I e w +2^ 4 cos (w sin- — -— »+ 2 cosl it— -,-) |, 



and so on. 



Similar results are available in the case when z is negative 

 and real. If x is large, real, and positive 



n nr(i+* r ) 



i — _f__ _ + „ . — 1_ _ __ -p-*/* 



2/-1 1 

 * if * „ C Vn cos (2 ^ 1),r r ,,, • 2^-1 2* — 1 



x S e » cos na; 1 '* sin it tt s n 



t=i L 71 >l 



s «« / ,/ • 2£-l 2o-l , \-i 



4- > COS I 1U€ l/ " sin- - 7T -7rL-(-r 



and again, as a first approximation, we may put 



nVl4 a r J^i v n „&-!)*. 



JO 



s » n iix' COS 



1 — ..-„.• +... — 2 — -a? » ^ 6 



72 



.= 1 



v 2tt) 2 \Z?i 



,„ . 24-1 2t-.l 



X cos 



{ WO? 1 '' 1 Sill — IT — ■ — 7TS n ) 



\ n n /* 





(2tt) 2 \A 



/ . 9^_i 2^-1 \ 



X COS I M Sill 7T 7TS„ ), 



V H /t / 



