We use our disc formula for the Siciak-Zahariuta extremal function to characterize the polynomial hull of a connected compact subset of complex affine space in terms of analytic discs.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-10,
author = {Finnur L\'arusson and Ragnar Sigurdsson},
title = {Siciak-Zahariuta extremal functions and polynomial hulls},
journal = {Annales Polonici Mathematici},
volume = {92},
year = {2007},
pages = {235-239},
zbl = {1122.32007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-10}
}
Finnur Lárusson; Ragnar Sigurdsson. Siciak-Zahariuta extremal functions and polynomial hulls. Annales Polonici Mathematici, Tome 92 (2007) pp. 235-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-10/