Geodesic
Approximation by polynomials on star-shaped subsets of $C_n$
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 55-60 
E. M. Chirka. Approximation by polynomials on star-shaped subsets of $C_n$. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 55-60. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a6/
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     author = {E. M. Chirka},
     title = {Approximation by polynomials on star-shaped subsets of $C_n$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {55--60},
     year = {1973},
     volume = {14},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every function holomorphic in a star-shaped domain in $C_n$ can be approximated by polynomials uniformly on compact subsets.