Geodesic
Relations for the coefficients, and singular points of a function
Sbornik. Mathematics, Tome 59 (1988) no. 2, pp. 349-377 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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