Geodesic
The poles of the $m$th row of the Padé table and the singular points of a function
Sbornik. Mathematics, Tome 50 (1985) no. 2, pp. 457-463 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. V. Vavilov; V. A. Prokhorov; S. P. Suetin. The poles of the $m$th row of the Padé 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/

[1] Perron O., De Lehre von den Kettenbruchen, B. II, Teubner, Stuttgart, 1957 | MR | Zbl

[2] Gonchar A. A., “Polyusy strok tablitsy Pade i meromorfnoe prodolzhenie funktsii”, Matem. sb., 115 (157) (1981), 590–613 | MR | Zbl

[3] Suetin S. P., “O polyusakh $m$-i stroki tablitsy Pade”, Matem. sb., 120 (162) (1983), 500–504 | MR | Zbl

[4] Vavilov V. V., Giermo L., Prokhorov V. A., “Ob odnoi obratnoi zadache dlya strok tablitsy Pade”, Matem. sb., 110 (152) (1979), 117–129 | MR

[5] Vavilov V. V., “Ob osobykh tochkakh meromorfnoi funktsii, zadannoi svoim ryadom Teilora”, DAN SSSR, 231:6, 1281–1284 | MR | Zbl

[6] Mandelbroit S., Ryady Dirikhle. Printsipy i metody, Mir, M., 1973 | Zbl