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Journal of University of Chinese Academy of Sciences ›› 2021, Vol. 38 ›› Issue (1): 29-31.DOI: 10.7523/j.issn.2095-6134.2021.01.004

• Research Articles • Previous Articles     Next Articles

An iterative construction of Riemann mappings

DENG Fusheng, JIANG Weiwen, ZHANG Xujun   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2019-07-16 Revised:2019-09-30 Online:2021-01-15
  • Supported by:
    Supported by National Nature Science Foundation of China (11871451) and University of Chinese Academy of Sciences (Y8540XX112)

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

CLC Number: