Geodesic
On the convergence of the Padé approximants of meromorphic functions
Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 39-49 
V. V. Vavilov. On the convergence of the Padé approximants of meromorphic functions. Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 39-49. http://geodesic.mathdoc.fr/item/SM_1976_30_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the convergence of various sequences of the Padé approximants of meromorphic and quasi-meromorphic functions. Bibliography: 10 titles.

[1] O. Perron, Die Lehre von den Kettenbrüchen, Chelsea Publ. Comp., New York, 1950 | MR | Zbl

[2] H. S. Wall, Analytic theory of continued fractions, Van Nostrand, New York, 1948 | MR | Zbl

[3] J. Nuttall, “The convergence of Pade approximants of meromorphic functions”, J. Math. Anal. Appl., 31 (1970), 147–153 | DOI | MR

[4] Ch. Pommerenke, “Padé approximants and convergence in capacity”, J. Math. Anal. Appl., 41 (1973), 775–780 | DOI | MR | Zbl

[5] A. A. Gonchar, “O skhodimosti approksimatsii Pade”, Matem. sb., 92(134) (1973), 152–164 | Zbl

[6] A. A. Gonchar, “Lokalnoe uslovie odnoznachnosti analiticheskikh funktsii neskolkikh peremennykh”, Matem. sb., 93 (135) (1974), 296–313 | Zbl

[7] A. A. Gonchar, “O skhodimosti obobschennykh approksimatsii Pade meromorfnykh funktsii”, Matem. sb., 98 (140) (1975), 564–577 | Zbl

[8] G. M. Goluzin, Geometricheskaya teoriya funktsii kompleksnogo peremennogo, izd-vo «Nauka», Moskva, 1966 | MR

[9] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, IL, Moskva, 1961 | MR

[10] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, Moskva, 1956