450 



i de 



5(2) =v r T^^g('+ ^^1+^')' 



o 



e(3) = 10 1 y log'u^ + »/ïTF). 



o 



If we wish to expand $(/) for /i->3, we must proceed in a 

 different manner. We sliall use the general identity 



2:tj' 



where p is an integer and 0=zev 

 Denoting the series 



I,— 00 man 



bj ^^m. we get by substituting in (4) 



JL1 = 2 , ^ = 1 



2^^ + ^. = ^^'. 

 1 

 2 

 and hence 



U, + U, = ^— U, 



' ' * 9.S—1 • 



From equation (3) we deduce by taking k = 2h -\- 'l,y = iv 



V^ — 1 J 1 [- . . . -\ log r + 



Z^ v^f^+^ '~ 2hf Vl^2^3^ '^2A ^ J 



n=l 



+ V'^-L— g(2A4-l"2n) . . (5) 



n=0 



hence writing 



1 \/ 1 



we may conclude to 



(_l)A-l,/iA /111 1 , . 



