An iterative construction of Riemann mappings

DENG Fusheng; JIANG Weiwen; ZHANG Xujun

doi:10.7523/j.issn.2095-6134.2021.01.004

Journal of University of Chinese Academy of Sciences >

2021 , Vol. 38 >Issue 1: 29 - 31

DOI: https://doi.org/10.7523/j.issn.2095-6134.2021.01.004

Research Articles

An iterative construction of Riemann mappings

DENG Fusheng ,
JIANG Weiwen ,
ZHANG Xujun

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School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2019-07-16

Revised date: 2019-09-30

Online published: 2021-03-05

Supported by

Supported by National Nature Science Foundation of China (11871451) and University of Chinese Academy of Sciences (Y8540XX112)

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Abstract

In this note, we give an explicit construction of iterative approximation of Riemann mappings. Our method is motivated by Koebe’s proof of the Riemann mapping theorem.

Key words： Riemann mapping; Montel’s Theorem; Hurwitz’s Lemma

Cite this article

DENG Fusheng , JIANG Weiwen , ZHANG Xujun . An iterative construction of Riemann mappings[J]. Journal of University of Chinese Academy of Sciences, 2021 , 38(1) : 29 -31 . DOI: 10.7523/j.issn.2095-6134.2021.01.004

References

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[4] Bishop E. Foundations of constructive analysis[M]. New York:McGraw-Hill, 1967.
[5] Cheng H. A constructive Riemann Mapping theorem[J]. Pacific J Math,1973, 144:435-454.

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