An explicit calculation of the Ronkin function
(English)Manuscript (preprint) (Other academic)
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-Ampère measure, the Ronkin measure.
Ronkin function, amoeba
Mathematical Analysis Geometry
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-82846OAI: oai:DiVA.org:su-82846DiVA: diva2:572618