52 -A^ft. 4. — M. Kuniyeda : 



and the equation (48) takes the form 



where t «^ — — < 1 



r 



as x->0. 



As X = a is the root of this equation, we have 



-i- = _ t{a) < 1, 



<T \0.) 



whence 



and 



^^"^ = Xlo'{o)-l ^ - ^^"^ = ^(«)/^i(«) ' 



by Lemma 5. 



Now H(f)= ''^^^ - ^^^^ 



and hence we have 



We may write 



6.a) ^e,{d) _ 0(a) 0,(6) 1 



and we have 



0,{a) 0(^0) 0(d) 0,(a) ^0,^6) 



^ 0(a) f 0,(d) Y 1 . 

 ^0,^a) '\0,(a)i ' 0[d) ' 





For 6> < V^i» ^-^ > 1 and a < 6 ; and 



