On the Eelatively Abelian Corpora. QQ 



Differentiating (21) with respect to u, and making use of the 

 relation 



we obtain 



Hence, if we put 



then 





q(:ii) = 



_ n^i] 



9 



Let ?//, and Z/, denote the vahies of p(?/) and q(;^f) respectively, 

 when 



(0 



Then, from (21) and (22), we find tliat 



yi' = 1 aiîd -, = ; 

 therefore 



K(y,) = ZC",) - lif>). 



To find 1/.2 and -^2, we have to solve the equations 



y 2 - 4^/1 y^ + 8 //, + 4?/i = 



and .ro* + '2(l + 2/>),r| + l = 



respectively. Both of these equations are reducil)le. In fact, they 

 break up into factors as follows : 



(ij^-^y^y-^y^r = 0, 

 (,-,- + 2/) .r.-l)(?,--2^o^,-]) = 0. 

 Therefore 



7/,= (l±V3)yi, 



2.2= ±f>i^i:f>i) . 

 Thus we see that 



!%,) = AX.,) = Hr, i). 



Now, from (21), we can derive by iteration the formula 



