SphericalBesselJ[\[Nu], z] == (1/(2 Pi I)) ((Pi^(3/2) z^\[Nu] (-z^2)^(-(1/4) - \[Nu]/2))/Sqrt[2]) ContourIntegral[Gamma[1/4 + s + \[Nu]/2]/(Gamma[1/4 - s - \[Nu]/2] Gamma[5/4 - s + \[Nu]/2] Gamma[3/4 + s + \[Nu]/2])/(-(z^2/4))^s, \[ScriptCapitalL]["s"]]

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2007-05-02