Geodesic
Pad\'e approximants, continued~fractions, and orthogonal polynomials
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 6, pp. 1049-1131

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

This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants. Bibliography: 204 titles.
Keywords: rational approximation, equilibrium distributions, stationary compact sets, $S$-property.
Mots-clés : orthogonal polynomials, Padé approximants 
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     title = {Pad\'e approximants, continued~fractions, and orthogonal polynomials},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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A. I. Aptekarev; V. I. Buslaev; A. Martínez-Finkelshtein; S. P. Suetin. Pad\'e approximants, continued~fractions, and orthogonal polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 6, pp. 1049-1131. http://geodesic.mathdoc.fr/item/RM_2011_66_6_a1/