On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function
Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 367-381

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We establish analogs of the theorem of Montessus de Ballore for rational approximations (of the type of the Padé approximants) to series of orthogonal polynomials and of Faber polynomials. Bibliography: 11 titles.
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     author = {S. P. Suetin},
     title = {On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function},
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S. P. Suetin. On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function. Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 367-381. http://geodesic.mathdoc.fr/item/SM_1978_34_3_a5/