Geodesic
On an inverse problem for the $m$th row of a Padé table
Sbornik. Mathematics, Tome 52 (1985) no. 1, pp. 231-244 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author considers the connection between the asymptotic behavior of the poles of the $m$th row of the Padé table of a function given by a power series and the singular points of this function on the boundary of its $m$th disc of meromorphicity. Bibliography: 9 titles. 
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     title = {On an inverse problem for the $m$th row of a {Pad\'e} table},
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S. P. Suetin. On an inverse problem for the $m$th row of a Padé table. Sbornik. Mathematics, Tome 52 (1985) no. 1, pp. 231-244. http://geodesic.mathdoc.fr/item/SM_1985_52_1_a12/

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

[5] Biberbakh L., Analiticheskoe prodolzhenie, Nauka, M., 1967 | MR

[6] Vavilov V. V., “Ob osobykh tochkakh meromorfnoi funktsii, zadannoi svoim ryadom Teilora”, DAN SSSR, 231:6 (1976), 1281–1284 | MR | Zbl

[7] Agmon S., “Sur les series de Dirichlet”, Ann. Ec. Norm. Sup., 66 (1949), 263–310 | MR | Zbl

[8] Vavilov V. V., Prokhorov V. A., Suetin S. P., “Polyusy $m$-i stroki tablitsy Pade i osobye tochki funktsii”, Matem. sb., 122(164) (1983), 475–480. | MR | Zbl

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