SphericalBesselJ[\[Nu], z] == (1/(2 Pi I)) Sqrt[Pi/2] z^\[Nu] (z^2)^(-(1/4) - \[Nu]/2) ContourIntegral[ Gamma[1/4 + \[Nu]/2 + s]/Gamma[5/4 + \[Nu]/2 - s]/(z^2/4)^s, \[ScriptCapitalL]["s"]]

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2007-05-02