Nowaekt and Sharma 
with ¢ DP a I Ce ee and 
c" exp(-iq¢) af (B47) 
The integrals g(t) and G(3) can be solved in closed form or 
evaluated by recurrence formulas : 
cg) CO. py = O_, 
G'om,p) = m {(2m-1) [(1-e7P)/r+2c!(m-1,p)/p)/p-(1+e*P) /} 
elt = (1-6 V4 
Gna) = fag) (n-t,q) - 21/3 (B48) 
The integral I has an exponentially decaying factor in the integrand 
and is therefore suited to Gauss-Laguerre numerical quadrature . 
The real part in (B46) need not be evaluated analytically , if complex 
arithmetic may be used in the program . 
Similarly , for x <-J2 
£9 
oe ). tm f au fax! fae as a {1-« (ia T nt Pr 
‘of = 
exp { is(x-x") + iuy + s“(2+2') | 
a ) sin ( sx ) F"!) Gn, sl) F? es €, °T)| cos(uy) du 
(B49) 
1898 
