262 PROFESSOR A. G. OREENHILL ON THE 



30. =10,= ''-- 



To identify with the results in L.M.S., 27, put 



l _ ! TO _ C +JL T m _ c J 

 then 



and from (9), 7, 



2t : > 



= 5 sm- 



, C 8 



Put 



/ nrl 9/ 2 <S ^ ' ~ 



' - 



(2). 



dt* 



v/I\T 2 



with 



s(v) = 8c(c+iy(c-l), () = (o + l)(o-l)* (7), 



and we obtain !() in the form employed in L.M.S., 27, p. 601, derived by putting 



N 5 = 0, with 



P ( V ) = i ( C + 3) (- c* + 4c + 1), Q 00 = 4f (c + I) 3 (c - 1) (- c' + 4c + 1) (8) ; 

 and in Region II. , /= i or f, 



i = 4 (c 2 + v/C) 2 , Sa = (c+l)(c-l) 4 , ^ = 4(^-^0)^ (9), 



where 



C = c 3 + c 3 - c (10), 



and 



L / 2 v>4_ , , 



- 2 _52_ 



