compact Riemann surfaces的保角表示的计算
Computation of conformal representations of compact Riemann surfaces
摘要:
我们发现一个系统的两个多项式方程在两个未知数,其解决方案允许给出一个明确的表达的保角表示的单连通的三个sheleted紧黎曼曲面上的扩充复平面。这个函数出现在多个正交多项式关于所谓的两个措施的Nikishin系统的比渐近的描述。
英文摘要:
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.
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