﻿61 Separation of a Fraction into Partial Fractions. 

 Letting y=m — g, and y — ot=h, we Lave 



n-g 



Therefore 



— 1 



9=0 y 1 



T(y-a)= S 



. Y(-iyn hl _,_ h af + J <) 

 ^ J g =o (x + ay-y {i > 



(ii.) n^p. 



Let n=2J-\-q, then (5) becomes 



y 



or 



y=0 a =0 \ 7 a / 



F(y-a) = 2 yt-y I (-l^J^l^W- 



y=0 a = \ 7 * / 



, ? ic-^^ir) 



The last result may be changed to 



ay~ a 



— . • (8) 



or 



F(y-«) = £ y-v £ (-ir«« Wv . a (^ + ^^ a ) 



y = a = \ K / 



+ i- h±3=sl , (9) 



7=0 La=o V /- 1 



f T(-i)^^(i>+--*) 



+ 2^- — > \. . (10) 



Therefore 



pw = y | (^+«) ? -fj o (-i)^v-<.( i ' +9 ; 7+a )] 



<2+y 



~T -^ : ; v~ 



. . (11) 



{sc + ay v ' 



