Equation 11.45.2254FB5175831

\begin{equation} \phi _{a,d}=\begin{cases} 0,& |z|^2\leq R,\\ a\log |z|^2+C_*-K\log (1+|z|^2),& |z|^2>R, \end{cases} \qquad \phi _{a,d}|_ D=-\infty . \end{equation}