Sbornik. Mathematics, Tome 45 (1983) no. 4, pp. 423-429
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V. I. Buslaev. On the poles of the $m$th row of the Padé table. Sbornik. Mathematics, Tome 45 (1983) no. 4, pp. 423-429. http://geodesic.mathdoc.fr/item/SM_1983_45_4_a0/
@article{SM_1983_45_4_a0,
author = {V. I. Buslaev},
title = {On the poles of the $m$th row of the {Pad\'e} table},
journal = {Sbornik. Mathematics},
pages = {423--429},
year = {1983},
volume = {45},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1983_45_4_a0/}
}
TY - JOUR
AU - V. I. Buslaev
TI - On the poles of the $m$th row of the Padé table
JO - Sbornik. Mathematics
PY - 1983
SP - 423
EP - 429
VL - 45
IS - 4
UR - http://geodesic.mathdoc.fr/item/SM_1983_45_4_a0/
LA - en
ID - SM_1983_45_4_a0
ER -
%0 Journal Article
%A V. I. Buslaev
%T On the poles of the $m$th row of the Padé table
%J Sbornik. Mathematics
%D 1983
%P 423-429
%V 45
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1983_45_4_a0/
%G en
%F SM_1983_45_4_a0
It is shown that the $m$-meromorphic extensions of $f(z)=\sum\limits_{k=0}^\infty f_kz^k$ can be described in terms of the asymptotic distribution of the poles of the $m$th row of the Padé table of $f(z)$. Bibliography: 2 titles.
