An explicit calculation of the Ronkin function
Complex Variables
2013-06-27 v1
Abstract
We calculate the second order derivatives of the Ronkin function in the case of an affine linear polynomial in three variables and give an expression of them in terms of complete elliptic integrals and hypergeometric functions. This gives a semi-explicit expression of the associated Monge-Amp\`ere measure, the Ronkin measure.
Cite
@article{arxiv.1306.6249,
title = {An explicit calculation of the Ronkin function},
author = {Johannes Lundqvist},
journal= {arXiv preprint arXiv:1306.6249},
year = {2013}
}
Comments
22 pages, 13 figures