Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 289-293
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G. A. Volkov. Distribution of poles of rational functions of best approximation. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 289-293. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a3/
@article{MZM_1970_7_3_a3,
author = {G. A. Volkov},
title = {Distribution of poles of rational functions of best approximation},
journal = {Matemati\v{c}eskie zametki},
pages = {289--293},
year = {1970},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a3/}
}
TY - JOUR
AU - G. A. Volkov
TI - Distribution of poles of rational functions of best approximation
JO - Matematičeskie zametki
PY - 1970
SP - 289
EP - 293
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a3/
LA - ru
ID - MZM_1970_7_3_a3
ER -
%0 Journal Article
%A G. A. Volkov
%T Distribution of poles of rational functions of best approximation
%J Matematičeskie zametki
%D 1970
%P 289-293
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a3/
%G ru
%F MZM_1970_7_3_a3
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 $K$.
