A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-2,
author = {Thomas Kalmes and Markus Niess},
title = {Universal zero solutions of linear partial differential operators},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {33-51},
zbl = {1194.47008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-2}
}
Thomas Kalmes; Markus Niess. Universal zero solutions of linear partial differential operators. Studia Mathematica, Tome 196 (2010) pp. 33-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-2/