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The result is $\\bar{F}_{\\ell,s}/4\\pi R_S^{2\\ell+1}=\\Phi_{\\ell,s}(\\bar{y})-\\tfrac12\\eta\\,\\Phi_{\\ell,s}'(\\bar{y})$ with $\\bar{y}=-\\tfrac12\\eta^2\\tau$ and $\\eta=i\\omega R_S$. 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