On uniform approximation by $n$-analytic functions on closed sets in $\mathbb C$

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.