Geodesic
On the convergence of Padé approximants
Sbornik. Mathematics, Tome 21 (1973) no. 1, pp. 155-166 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that if a function $f$ analytic at zero is similar to the rational functions ($f\in R^0$), the corresponding diagonal Padé sequence $\{\pi_n\}$ converges to $f$ in capacity inside of its natural domain of existence $W_f$. Bibliography: 15 titles. 
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A. A. Gonchar. On the convergence of Padé approximants. Sbornik. Mathematics, Tome 21 (1973) no. 1, pp. 155-166. http://geodesic.mathdoc.fr/item/SM_1973_21_1_a7/

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[4] G. A. Baker Jr., “The Padé Approximant Method and Some Related Generalizations”, The Padé Approximant in Theoretical Physics, eds. Baker, Gammel, Academic Press, New York, 1970, 1–39

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[11] N. S. Landkof, Osnovy sovremennoi teorii potentsiala, izd-vo «Nauka», Moskva, 1966 | MR

[12] A. A. Gonchar, “O zadachakh E. I. Zolotareva, svyazannykh s ratsionalnymi funktsiyami”, Matem. sb., 78 (120) (1969), 640–654 | Zbl

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