ParabolicCylinderD[\[Nu], z] == ((2^((\[Nu] + 1)/2) Gamma[\[Nu]/2 + 1])/ (2 Pi I)) ContourIntegrate[(1 + t)^(-(\[Nu]/2) - 1) (1 - t)^((\[Nu] - 1)/2) E^((z^2 t)/4), {t, L}] /; Arg[z] < Pi/4 && Arg[1 + t] <= Pi

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2007-05-02