0$. Corollary \[cor0.0\] implies that $$\gamma_0=\ophi^{\alpha_0,\beta_0}(\sigma\ud{v})= \ophi^{\alpha_0,\beta(\alpha_0)}(\sigma\ud{v})> \ophi^{\alpha,\beta(\alpha)}(\sigma\ud{v})\quad \forall\alpha>\alpha_0\,.$$ 