Computation of conformal representations of compact Riemann surfaces
Complex Variables
2015-05-13 v1 Classical Analysis and ODEs
Abstract
We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ratio asymptotic of multiple orthogonal polynomials with respect to so called Nikishin systems of two measures.
Cite
@article{arxiv.0903.0508,
title = {Computation of conformal representations of compact Riemann surfaces},
author = {Guillermo Lopez Lagomasino and Domingo Pestana and Jose M. Rodriguez and Dmitry Yakubovich},
journal= {arXiv preprint arXiv:0903.0508},
year = {2015}
}
Comments
To appear in Mathematics of Computation