四边形共形模的计算

Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI:10.22323/1.394.0016

Ioane Shengelia

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引用次数: 0

摘要

本文考虑了用共形模对一般拓扑四边形的分类，并给出了用第一类椭圆积分数值计算四边形这种共形不变量的一种可能方法。阐明了共形模与AGM之间的关系，并给出了一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Computation on conformal moduli of Quadrilaterals

In this paper we consider classiﬁcation of general topological quadrilaterals by conformal moduli and give one possible method of the numerical computation of this conformal invariant of quadrilaterals by elliptic integral of the ﬁrst kind. We clarify relation between conformal moduli and AGM and give some examples.

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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020)

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