Geodesic
Meromorphic continuation and the degree of rational approximations in $\mathbf C^N$
Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 553-561 Cet article a éte moissonné depuis la source Math-Net.Ru

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A connection is established between domains of meromorphy of a function of several complex variables and the degree of approximations by rational functions of special form. Bibliography: 5 titles. 
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E. M. Chirka. Meromorphic continuation and the degree of rational approximations in $\mathbf C^N$. Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 553-561. http://geodesic.mathdoc.fr/item/SM_1976_28_4_a7/

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

[2] A. A. Gonchar, “Ob odnoi teoreme Saffa”, Matem. sb., 94 (136) (1974), 152–157 | Zbl

[3] 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

[4] J. Siciak, “On some extremal functions and their applications in the theory of analytic functions of several complex variables”, Trans. Amer. Math. Soc., 105 (1962), 322–357 | DOI | MR | Zbl

[5] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, Moskva, 1956