This article is cited in 2 papers

Distribution of poles of rational functions of best approximation

G. A. Volkov

M. V. Lomonosov Moscow State University

Abstract: 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 $K$.

UDC: 517.5

Received: 20.03.1969

 English version: Mathematical Notes, 1970, 7:3, 176–178

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