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CoulombG

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Irregular Coulomb wave function; nonzero charge parameter evaluated numerically via the outgoing wave and at zero charge reduces to -z SphericalBesselY[L z] (Cos[z] at order 0)

CoulombG[l, η, r]
CoulombG[3, 0.12, 7.] → -1.0693069242936613CoulombG[3, 0.12`50, 3`50] → 1.6251138764283692ComplexPlot[CoulombG[0, 2, z], {z, -3 - 3I, 3 + 3I}] → -Graphics-
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CoulombFCoulombH1CoulombH2HypergeometricUWhittakerWSphericalBesselYCenteredInterval

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