Joosen 



1 1 



+ J d^ I F(^, 0G3dC-| d^ J F^(^, OG^d^, 



(4.5) 



-1 c(f) 



where 



o. = ^r-i 



1 "c(^) 



. ^ „^ -iq(f-^i) cos e 

 A„(q,^)e dq 



Q -Q /S^q^ cos^e + 27q cos 5 + ^l" q 



iq(^-^i) cos 



I ''[. 



A„(q,^)e 



dq 



)^ /S^q^ cos 20 + 2yq. cos fi* + f^" ^ 



'r 1 



77/ :^ 



iq(f-^, ) COS e 

 B„(q,g)e '^^ '^ dq 



J, /3gq2 cos^e - 27q cos + ^j^ - q 



(4.6) 



with A3 = B3 = ^L 



A4 = -i(/3oq cos 5 + 2y) , B^ = iifi^q cos 5 - 2y) 



(4.7) 



By changing the integration contour and introducing some new variables (4.6) 

 can be transformed into a formula that is more convenient for computation: 



(1) (2) (3) 



G = G + Q- + g' , 

 n n n n 



where 



CO /■ 



- i sgn m^ \^Jm^ ^- m^ - m^\ > e 



- P I ^ 1 - ^ I dp 



\A^ 



2., ^2 



For ^-^, < 0: 



(2) I ' ^ 2S„ (^'^1)' 



G: = - Sih H (r) e ° 



'ihj H„( 



dr 



y(hr+ 27)'' -Wr^ 



178 



