Geodesic
On convergence of subsequences of the $m$th row of a~Pad\'e table
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 535-540

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The question is considered of the existence of a subsequence of the $m$th row of the Padé table of a function $f$ that converges uniformly on compact subsets of the disk $D_m$: $|z|$ ($R_m$ the radius of $m$-meromorphy of $f$) which do not contain poles of this function. Bibliography: 8 titles. 
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     title = {On convergence of subsequences of the $m$th row of {a~Pad\'e} table},
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V. I. Buslaev; A. A. Gonchar; S. P. Suetin. On convergence of subsequences of the $m$th row of a~Pad\'e table. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 535-540. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a15/