Geodesic
On uniform approximation by $n$-analytic functions on closed sets in~$\mathbb C$
Izvestiya. Mathematics , Tome 68 (2004) no. 3, pp. 447-459

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Necessary and (or) sufficient conditions on a closed set $F\subset\mathbb{C}$ are given for any function $f$, continuous on $F$ and $n$-analytic on $F^0$, to be the uniform limit on $F$ of a sequence of $n$-analytic entire or $n$-analytic meromorphic functions. 
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     title = {On uniform approximation by $n$-analytic functions on closed sets in~$\mathbb C$},
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A. Boivin; P. M. Gauthier; P. V. Paramonov. On uniform approximation by $n$-analytic functions on closed sets in~$\mathbb C$. Izvestiya. Mathematics , Tome 68 (2004) no. 3, pp. 447-459. http://geodesic.mathdoc.fr/item/IM2_2004_68_3_a2/