The poles of the $m$th row of the Pad\'e table and the singular points of a~function
Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 457-463
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The connection is considered between the asymptotic behavior of the poles of the $m$th row of the Padé table of a function given by a Taylor series and the singular points of this function on the boundary of its disk of $m$-meromorphy.
Bibliography: 6 titles.
@article{SM_1985_50_2_a9,
author = {V. V. Vavilov and V. A. Prokhorov and S. P. Suetin},
title = {The poles of the $m$th row of the {Pad\'e} table and the singular points of a~function},
journal = {Sbornik. Mathematics},
pages = {457--463},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_50_2_a9/}
}
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%0 Journal Article %A V. V. Vavilov %A V. A. Prokhorov %A S. P. Suetin %T The poles of the $m$th row of the Pad\'e table and the singular points of a~function %J Sbornik. Mathematics %D 1985 %P 457-463 %V 50 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1985_50_2_a9/ %G en %F SM_1985_50_2_a9
V. V. Vavilov; V. A. Prokhorov; S. P. Suetin. The poles of the $m$th row of the Pad\'e table and the singular points of a~function. Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 457-463. http://geodesic.mathdoc.fr/item/SM_1985_50_2_a9/