Geodesic
On a theorem of Saff
Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 149-154 
A. A. Gonchar. On a theorem of Saff. Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 149-154. http://geodesic.mathdoc.fr/item/SM_1974_23_1_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem establishing a connection between the degree of best approximation by rational functions with a fixed number of free poles and the regions of meromorphy of a given function is proved. Bibliography: 3 titles.

[1] E. B. Saff, “Regions of meromorphy determined by the degree of best rational approximation”, Proc. Amer. Math. Soc., 29 (1971), 30–38 | DOI | MR | Zbl

[2] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, IL, Moskva, 1961 | MR

[3] J. L. Walsh, “The convergence of approximating rational functions of prescribed type”, Sovremennye problemy teorii analiticheskikh funktsii, izd-vo «Nauka», Moskva, 1966, 304–308 | MR