PRACTICAL APPLICATION OF THE FOURIER INTEGRAL 685 

 TABLE I (Continued) 



air 

 lo. 



Coefficient F(f) for the 

 Cisoidal Oscillation 



Coefficient G(g) for the 

 Unit Impulse 



V I p I sin (aV 1^1) 



15. 



cos (aVl^Dc-"'"' 



i6. 



sin (aV|^|)e-^i^i 



V|^| 



61. 



62.^ 



exp [- cV^(^ + «)] 



63. 



V^(/J + a) 



J— ^exp [- cV^(^ + «)] 



exp [- cV(/> + a)(^ + /3)] 



2 r . a2 ^/ g \ 

 — , — r\ sin— I — i-6( , 

 7r|g|L 4lg| VV27r|g| / 



+ cos-f|Cf^^)], 0<±g 



4|g| \V27r g /J 



+ 



tor 



7r(^^ + g') 4(/3 + *g)V7r(/3 + ig) 



X exp — 



+ 



L 4W + ig) J 



erf 



2V^ + 



^g 



ta 



4(/3 -ig)<TT{^ - ig) 



Xexpl - 

 1 



2W7r(i3 + ig) 

 Xerf 



L 4(^ - ig) J 

 ;xp 



erf 



tO! 



4(/3 + ^-g) 

 1 



2V^ - ig 



] 



2V/3 + ig 2i^ir{^-ig) 



X exp 



L 4(^-zg)J 



erf 



ta 



4()3-zg)J 2Vj3 - 



«g 



g-^-'/o (^ Vg2 - cA , c < g 



e-^"'^o(g - c) 



[l^.^4'^^ 



^ 2 ' I V,2 - c2 



-/o(^^Vg2 -C^)j. C<g 



r^(«+^'^^o(g - c) 



2Vg- - c- \ ^ 



X V^^^^ j , c < g 



* A star marks a pair as being the limit approached by regular pairs. 



