where k , k, , and k„ are given by 



1/2 

 k^ = 1- 2(mK)-''^^ + [l-AdnK)-*-^^] for (mK)''-'^^ < 0.25 



= 2(mK) 



1/2 



1/2 

 for (inK) ' > 0.25 (D.26) 



k^ = 1 + ZimK)-^^^ + Il+4(mK)-^^^] 



1/2 



(D.27) 



k^ = 1 + 2(mK)-^^^ - [1+4 (mK)-*-^^] 



1/2 



(D.28) 



(2) 

 With these changes of variables, g for x > becomes 



(2) 



^I 



K 



„ {4- 



^2^^ 1/2 

 j- +2(inK)^^ _ 



1/2 ^ 2 2l^/2 

 1 i [k2k+2(mK)^'^] -4k2k^ 



k2k 

 exp ^-i - — X I dk 



2ik, 



K or i 



^^4^^ 1/2 

 -^ -2(mK)^/^ 



1/2 "" 2 2)^/2 

 1 \ [k^k-2(mK) '^] -4k^k^ 



k^k 

 exp ^ 1 ~ — X ] dk 



^1 



K or 



^-2UK)^/2j 



1/2 "" 2 2^^/2 

 o \ [k2k-2(mK) ' ] -4kp 



k^k 

 exp \ i - — X j dk 



(D.29) 



With the change of the variable 



cos 9 = 



k+2 (mK) 



1/2 



(D.30) 



68 



