Geodesic
Rational approximations of holomorphic functions with singularities of finite order
Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 123-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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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[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

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[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