Numerical evaluation of parabolic cylinder functions

The numerical evaluation of the parabolic cylinder functions D/sub p/(z) in two cases is described. Case I is for the argument z=xe/sup -i pi /4/, with x real, and the order p=-1/2+iy, with y real. Case II is for z arbitrary, but p an integer. These cases are of special importance in the analysis of wave scattering from a parabolic cylinder. Expressions for D/sub p/(z) are presented which are numerically accurate and efficient.<
>