Geodesic
On the convergence of the Pad\'e approximants of meromorphic functions
Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 39-49

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We consider the convergence of various sequences of the Padé approximants of meromorphic and quasi-meromorphic functions. Bibliography: 10 titles. 
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     author = {V. V. Vavilov},
     title = {On the convergence of the {Pad\'e} approximants of meromorphic functions},
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V. V. Vavilov. On the convergence of the Pad\'e approximants of meromorphic functions. Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 39-49. http://geodesic.mathdoc.fr/item/SM_1976_30_1_a2/