m 



da; ^ X — p 



which agrees with (2). 



Considerii)^' the integral equation 



j (.r) = ƒ/ (^) /, '.r- ^) d^ 



the formula (18) is not applicable because «„ = 0. In this case and 

 assuming n^i =]= 0, we have 



+ -, 



1 I fl, 1 



«1 I "» 

 i a. 



a. 



('',ƒ: -f ^s^. + •••) 



1 





I «J — <^l «2 



«1 : (c,/, + r,7, + ...) 



where 



c./, + c./., + ... = 2-^+J.i 













dx" ' " J" " x-l^ 



u 



thus, representing the coefticients by the letters B 



d^ 



[_ d\v J X 



T. (.^-/?) 



d^ 





df r I, {x—8) 



d.v J 



x-i3 



d^ 



A(.^-/3) 



+ B, ff{^)Z±2^^d^ 



+ 



