Geodesic
Uniform approximations by bianalytic functions on arbitrary compact subsets of $\mathbb C$
Sbornik. Mathematics, Tome 195 (2004) no. 5, pp. 687-709 Cet article a éte moissonné depuis la source Math-Net.Ru

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Each continuous function on an arbitrary compact subset $X$ of $\mathbb C$ that is bianalytic in the interior of $X$ is proved to be uniformly approximable on $X$ by functions bianalytic in neighbourhoods of $X$. 
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M. Ya. Mazalov. Uniform approximations by bianalytic functions on arbitrary compact subsets of $\mathbb C$. Sbornik. Mathematics, Tome 195 (2004) no. 5, pp. 687-709. http://geodesic.mathdoc.fr/item/SM_2004_195_5_a3/

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