We give an elementary proof of the product formula for the multivariate transfinite diameter using multivariate Leja sequences and an identity on vandermondians.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-7,
author = {Jean-Paul Calvi and Phung Van Manh},
title = {A Determinantal Proof of the Product Formula for the Multivariate Transfinite Diameter},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {53},
year = {2005},
pages = {291-298},
zbl = {1109.32028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-7}
}
Jean-Paul Calvi; Phung Van Manh. A Determinantal Proof of the Product Formula for the Multivariate Transfinite Diameter. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 291-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-7/