Geodesic
New conditions for uniform approximation by polyanalytic polynomials
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 227-241

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We are interested in the problem of uniform approximability of functions by polyanalytic polynomials on compact subsets of the plane. We present new results showing the nature of the approximability conditions arising in this problem and their dependence on the order of polyanalyticity. 
@article{TM_2012_279_a14,
     author = {J. J. Carmona and K. Yu. Fedorovskiy},
     title = {New conditions for uniform approximation by polyanalytic polynomials},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {227--241},
     publisher = {mathdoc},
     volume = {279},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_279_a14/}
}
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J. J. Carmona; K. Yu. Fedorovskiy. New conditions for uniform approximation by polyanalytic polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 227-241. http://geodesic.mathdoc.fr/item/TM_2012_279_a14/