1278 



1 



+ sm\(2k~\)rr.r \-yi4 I f{^)sm(2k -]).^^di =z Uj^cos \{2k ~ l).t.r-ij^\ , 



putting 



1 1 



i/{^)eos{2k~l):r-^de=hckCos^k , j fi§)sin{2k-l).^èdi: z= ^.cksiniS,,, 

 o o 



by which ^k a»d Ck are defined. We take 0<(ik<n. 

 In the same way 



1 1 



ƒ f(.'n^y)siv\{2k-l)Try-hJk\dy= CM)sin\(2k-l)jri-{2/c-\ )jr.r-i^^.|c/§ 



^0 o 



I 



= - sin |(2^-])jr.r+ èi?/,i rfi^)cos(2k-l)7t^d'è-^ 



o 

 1 



J cos \(2k-\l^,v f i^A-} I /(5) shi (2/--1) jr$<^ = — ^c/, .s-m <(2/-— 1 ).-r.,,._ i;9/,|. 



Further 



1 l-.r 



o — r 



As again 



o 1 



I r/ (^)cos|(2^- 1 j.T? ï- {2k- 1 )-r.?;- ^/iA:|^5= | (Myos\{2k- 1 )jr i+(2X--l )jr.r - {,-ik\ ,/i 



we have 

 1 



I ff{ic — y) cos {(2k—l)ny—^ii/c\di/z=z l (p(S.)cos\2k—l)7t^-]-(2k—\).^x—yu\ds, 

 o o 



= Arfjt cos 1(2^—1)^..; - hjkl 

 putting 



1 



l<fi^)cos{2k-}):rT§d;= kdh 

 O 



1 



where j cp{^) sin{2/c—l )jT^dS, = O from (/{■l~z) = — <f (z). 

 o 



