On uniformizable representation for Abelian integrals
Classical Analysis and ODEs
2012-10-16 v1 Exactly Solvable and Integrable Systems
Abstract
We show how the unformizable representation for Abelian integrals of nontrivial genera arise. The technique makes use of the famous Chudnovsky's Fuchsian linear differential equations and their relation to the sixth Painleve transcendent.
Cite
@article{arxiv.1210.3951,
title = {On uniformizable representation for Abelian integrals},
author = {Yu. V. Brezhnev},
journal= {arXiv preprint arXiv:1210.3951},
year = {2012}
}
Comments
Final version, 7 pages; Painleve equations and related topics (Saint-Petersburg, 2011)