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Jul 29, 2020 at 15:46 comment added flinty Also note you can do: FunctionExpand[Abs[ParabolicCylinderD[2 I, x]]], FunctionExpand[Re[ParabolicCylinderD[2 I, x]]], and FunctionExpand[Im[ParabolicCylinderD[2 I, x]]] to get forms in exponentials, cosines, and HermiteH functions.
Jul 29, 2020 at 15:41 history edited flinty CC BY-SA 4.0
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Jul 29, 2020 at 15:38 comment added user64494 The result of ComplexPlot3D[ParabolicCylinderD[0.3 + 0.2 I, z], {z, -1 - I, 1 + I}] is more informative.
Jul 29, 2020 at 15:22 history answered flinty CC BY-SA 4.0