PRACTICAL APPLICATION OF THE FOURIER INTEGRAL 687 

 TABLE I (Continued) 



Part g. Other Transcendental Functions of f. 



Dl. 



02. 



11. 



12. 



I 

 13.* 



14. 



15. 



i'16. 

 .17. 



exp p- erfc p 



p^'"Ki_a(ap), < R{cx) < 1 



-pexp (- |g-). 



-VTT 



-=exp (- 2Vg), 



VTTg 



1 





p^-"I^^.{ap) 



Vtt 



V{a) 



(2a)*^(g2 - a2) 



2\a-l 



V22 - flZ' 



cosh-1 S ^ 



(2a)i-«(a2 - ey- 



(/32 - i>2)l^x,(Al/32 - :^2) 



(p'+/T^^j(27rpVp2 +J2) 



Xo(^V7^-7' 



V7rr(Q:) 



0<g 

 <g 



a < g 



a < g 



a < g 

 — a < g < a 



V2 



(p2 + g2)-ii^j(27rpVp2 + g2) 



exp(-pVgM-^ 



2(f + iS^)' 



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

 44 



