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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1027–1040
DOI: https://doi.org/10.33048/smzh.2020.61.505 (Mi smj6034) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A one-parametric family of conformal mappings from the half-plane onto a family of polygons

I. A. Kolesnikov, A. Kh. Sharofov

Tomsk State University
Full-text PDF (217 kB) Citations (1)
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DOI: https://doi.org/10.33048/smzh.2020.61.505
Abstract: We consider a one-parametric family of conformal mappings from the upper half-plane onto the family of the polygons obtained by an angle-preserving shift of one or more vertices of some initial polygon. We obtain some differential equation for the family of mappings and some system of ordinary second-order differential equations for the preimages of the vertices of the family of polygons with Cauchy initial-value conditions.
Keywords: conformal mapping, polygon, Schwarz–Christoffel integral.
Funding agency Grant number
Russian Foundation for Basic Research 18–31–00190\19
The authors were supported by the Russian Foundation for Basic Research (Grant 18–31–00190<span class="mathjax-tex">\( \backslash \)</span>19).
Received: 23.03.2020
Revised: 05.05.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 818–829
DOI: https://doi.org/10.1134/S0037446620050055
Bibliographic databases:
Document Type: Article
UDC: 517.542
MSC: 35R30
Language: Russian
Citation: I. A. Kolesnikov, A. Kh. Sharofov, “A one-parametric family of conformal mappings from the half-plane onto a family of polygons”, Sibirsk. Mat. Zh., 61:5 (2020), 1027–1040; Siberian Math. J., 61:5 (2020), 818–829
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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