Geodesic
Rational approximations of holomorphic functions with singularities of finite order
Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 123-138 
E. M. Chirka. Rational approximations of holomorphic functions with singularities of finite order. Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 123-138. http://geodesic.mathdoc.fr/item/SM_1976_29_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Holomorphic functions having algebraic singular sets of finite order in $\mathbf {CP}^N$ are characterized by the degree of special rational approximations in a neighborhood of a point of holomorphy. Bibliography: 7 titles.

[1] A. A. Gonchar, “Lokalnoe uslovie odnoznachnosti analiticheskikh funktsii”, Matem. sb., 89(131) (1972), 148–164 | Zbl

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

[3] 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

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

[5] E. M. Chirka, “Meromorfnoe prodolzhenie i skorost ratsionalnykh priblizhenii v $\mathbf C^N$”, Matem. sb., 99(141):4 (1976), 615–625 | MR | Zbl

[6] E. M. Chirka, “Razlozheniya v ryady i skorost ratsionalnykh priblizhenii dlya golomorfnykh funktsii s analiticheskimi osobennostyami”, Matem. sb., 93(135) (1974), 314–324 | Zbl

[7] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, izd-vo «Nauka», Moskva, 1964 | MR