COMPUTATION OF CONFORMAL REPRESENTATIONS OF COMPACT RIEMANN SURFACES

被引：6

作者：

Lopez Lagomasino, Guillermo ^{[1
]}

Pestana, Domingo ^{[1
]}

Rodriguez, Jose M. ^{[1
]}

Yakubovich, Dmitry ^{[2
,3
]}

机构：

[1] Univ Carlos III Madrid, Dept Math, Leganes 28911, Spain

[2] Univ Autonoma Madrid, Dept Math, Madrid, Spain

[3] UAM, CSIC, Inst Ciencias, UCM,UC3M, Madrid, Spain

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 269期

关键词：

Orthogonal polynomials; compact Riemann surfaces; branched covering; nonlinear equations; Newtonian continuation method; ORTHOGONAL POLYNOMIALS; NIKISHIN SYSTEMS;

D O I：

10.1090/S0025-5718-09-02265-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：365 / 381

页数：17

共 50 条

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