Title
Computation of conformal representations of compact Riemann surfaces
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.
Year
DOI
Venue
2010
10.1090/S0025-5718-09-02265-0
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Orthogonal polynomials,compact Riemann surfaces,branched covering,nonlinear equations,Newtonian continuation method
Geometric function theory,Simply connected space,Polynomial,Orthogonal polynomials,Riemann surface,Mathematical analysis,Conformal map,Riemann sphere,Compact Riemann surface,Mathematics
Journal
Volume
Issue
ISSN
79
269
0025-5718
Citations 
PageRank 
References 
4
1.22
1
Authors
4
Name
Order
Citations
PageRank
Guillermo López Lagomasino174.99
Domingo Pestana2204.47
José M. Rodríguez313926.24
Dmitry Yakubovich441.55