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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 76–80 (Mi ivm3081)  
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Mapping of a half-plane onto a polygon with infinitely many vertices

R. B. Salimov, P. L. Shabalin

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
Full-text PDF (150 kB) Citations (5)
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Abstract: In this paper we generalize the Schwarz–Christoffel formula for a conformal mapping of a half-plane onto a polygon for the case when the number of vertices of a certain polygon is infinite. We assume that the interior angles of the polygon (at unknown vertices) and points of the real axis that are images of the unknown vertices under the mentioned mapping are given.
Keywords: Schwarz–Christoffel integral, inverse problem, exponent of convergence.
Received: 17.02.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 68–71
DOI: https://doi.org/10.3103/S1066369X09100107
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, P. L. Shabalin, “Mapping of a half-plane onto a polygon with infinitely many vertices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 76–80; Russian Math. (Iz. VUZ), 53:10 (2009), 68–71
Citation in format AMSBIB
\Bibitem{SalSha09}
\by R.~B.~Salimov, P.~L.~Shabalin
\paper Mapping of a~half-plane onto a~polygon with infinitely many vertices
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 10
\pages 76--80
\mathnet{http://mi.mathnet.ru/ivm3081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657227}
\zmath{https://zbmath.org/?q=an:1176.30014}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 10
\pages 68--71
\crossref{https://doi.org/10.3103/S1066369X09100107}
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  • https://www.mathnet.ru/eng/ivm/y2009/i10/p76
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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