Wang 



-1/2 



. -1/2 

 ~i(^j {(l-ij)Ai[(lKco)'^'e''"'^'e] + (l+ij)Al[(-lKu))'/^-'"'/^e]}. 



(75) 



In (74) and (75) 



-1/2 1/4 



where 4 is given by (62) and x given by (60). With F, and Fg 

 given in (74) and (75), we may find W(F|,F2), which is 



W(F,.F,)~-^(Kcora"^^-*^\ (77) 



or 



W(^ ~ -^ [ (1 +U)e"^^ + (1 -U)e'^/^] . (78) 



Let us now express the solution F in terms of the t variable 

 From (4) , (5) and (35) , we have 



fo = KT^ (79) 



(^°)=4kV(.t2- l)[r +(t2- l)•/2]^ (80) 



and 



When we change the variable of integration in (58) from t, to t , we 

 need the quantity dt,/dT, which may be obtained from (35) and is 



^=.[r .{T^. l)'/'](r^- 1)-'/^ (82) 



If we denote G(^) d^/dr by g(T)e^ , then with the aid of (55) , (48) , 

 (79), (80), (81) and (82) 



204 



