Geodesic
Relations for the coefficients, and singular points of a~function
Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 349-377

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

The classical theorem of Poincaré on recursion relations is generalized. As the main application, a conjecture of Gonchar is proved for the case of the $m$th row of the multipoint Padé approximants of a function holomorphic in some neighborhood of a given continuum. Bibliography: 15 titles. 
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     author = {V. I. Buslaev},
     title = {Relations for the coefficients, and singular points of a~function},
     journal = {Sbornik. Mathematics},
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     volume = {59},
     number = {2},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1988_59_2_a5/}
}
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V. I. Buslaev. Relations for the coefficients, and singular points of a~function. Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 349-377. http://geodesic.mathdoc.fr/item/SM_1988_59_2_a5/