User blog comment:Ynought/Gamma function redefined/@comment-35470197-20190423213849/@comment-35470197-20190424223843

The updated version still has a typo in the defintion of C(a,b). Anyway, the resulting function behaves in the following way if I am correct: \begin{eqnarray*} \gamma_{\beta}(\alpha) = \left\{ \begin{array}{ll} 1+\alpha & (\alpha < \beta < \varepsilon_0) \\ 1+\beta & (\beta < \varepsilon_0, \alpha \geq \beta) \\ \textrm{undefined} & (\beta \geq \varepsilon_0) \end{array} \right. \end{eqnarray*}