Distribution of poles of rational functions of best approximation

This article describes the construction of an entire function $E(z)$ such that for any sequence $\{\overset{*}{r}_n(z)\}$ of rational functions of best approximation to $E(z)$ on the unit disc $K$, the corresponding set of poles $\{\overset{*}{\alpha}_{nk}\}$ is everywhere dense in the complement of $K$.