Computation of Conformal Representations of Compact Riemann Surfaces
Articles
Overview
published in
- MATHEMATICS OF COMPUTATION Journal
publication date
- January 2010
start page
- 365
end page
- 381
issue
- 269
volume
- 79
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0025-5718
Electronic International Standard Serial Number (EISSN)
- 1088-6842
abstract
- We find a system of two polynomial equations in two unknowns, whose solution allows us 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.