Table 1.

Limits for ψ for various extremes.

	i= ∞	i= 0
$\underset{\alpha \to \text{i}}{\text{lim}}\psi (\alpha )$	$\frac{\gamma }{\delta }$	0
$\underset{\beta \to \text{i}}{\text{lim}}\psi (\beta )$	0	$\{\begin{array}{c}\frac{\gamma }{\delta }{\left(\frac{\gamma }{\alpha -\delta }\right)}^{\frac{\gamma +\delta }{\alpha -\gamma -\delta }}\alpha \le \gamma +\delta \\ \frac{\gamma }{\delta }{\left(\frac{\alpha -\delta }{\gamma }\right)}^{-\frac{\gamma +\delta }{\alpha -\gamma -\delta }}\alpha \ge \gamma +\delta \end{array}$
$\underset{\gamma \to \text{i}}{\text{lim}}\psi (\gamma )$	$\frac{\alpha }{\delta }-1$	0
$\underset{\delta \to \text{i}}{\text{lim}}\psi (\delta )$	0	∞