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Numerical evaluation of parabolic cylinder functions

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2 Author(s)
Blanchard, J.L. ; Dept. of Math., Ohio State Univ., Columbus, OH, USA ; Newman, E.H.

The numerical evaluation of the parabolic cylinder functions D p(z) in two cases is described. Case I is for the argument z=xe-iπ/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 Dp(z) are presented which are numerically accurate and efficient

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Antennas and Propagation, IEEE Transactions on  (Volume:37 ,  Issue: 4 )