Equation 12.23.685080CF9B131

\begin{equation} \begin{cases} \displaystyle \frac{a}{k}\mathrm B(d/k,p-d/k)\epsilon ^{d/k-p} & kp>d,\\[4pt] \displaystyle \frac{a}{k}\log (1/\epsilon )& kp=d,\\[4pt] \text{a finite positive limit}& kp<d. \end{cases} \end{equation}