Abstract | ||
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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 Lagomasino | 1 | 7 | 4.99 |
Domingo Pestana | 2 | 20 | 4.47 |
José M. Rodríguez | 3 | 139 | 26.24 |
Dmitry Yakubovich | 4 | 4 | 1.55 |