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Matematicheskie Zametki, 2012, Volume 91, Issue 4, Pages 597–607
DOI: https://doi.org/10.4213/mzm8891 (Mi mzm8891) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Determination of the Polynomial Uniformizing a Given Compact Riemann Surface

S. R. Nasyrov

Kazan (Volga Region) Federal University
Full-text PDF (412 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm8891
Abstract: An approximate method for finding the polynomial uniformizing a given Riemann surface is proposed. The method is based on joining this surface with another surface by a smooth curve in the space of branched coverings of the Riemann sphere for which the uniformizing polynomial is known. The critical points of the required polynomial are found by using the solutions of the Cauchy problem for the system of ordinary differential equations.
Keywords: Riemann surface, Riemann sphere, branched covering, uniformizing polynomial, Cauchy problem.
Received: 14.09.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 4, Pages 558–567
DOI: https://doi.org/10.1134/S0001434612030303
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. R. Nasyrov, “Determination of the Polynomial Uniformizing a Given Compact Riemann Surface”, Mat. Zametki, 91:4 (2012), 597–607; Math. Notes, 91:4 (2012), 558–567
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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