Approximation by polynomials on star-shaped subsets of $C_n$
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 55-60.

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It is proved that every function holomorphic in a star-shaped domain in $C_n$ can be approximated by polynomials uniformly on compact subsets.
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     author = {E. M. Chirka},
     title = {Approximation by polynomials on star-shaped subsets of $C_n$},
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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/