Geodesic
Poles of rows of the Pad\'e table and meromorphic continuation of functions
Sbornik. Mathematics, Tome 43 (1982) no. 4, pp. 527-546

Voir la notice de l'article provenant de la source Math-Net.Ru

The meromorphic continuation of a function is characterized in terms of the asymptotic behavior of the poles of its local rational approximations (rows of the Padé table). Bibliography: 15 titles. 
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     title = {Poles of rows of the {Pad\'e} table and meromorphic continuation of functions},
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A. A. Gonchar. Poles of rows of the Pad\'e table and meromorphic continuation of functions. Sbornik. Mathematics, Tome 43 (1982) no. 4, pp. 527-546. http://geodesic.mathdoc.fr/item/SM_1982_43_4_a5/