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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 503–518
DOI: https://doi.org/10.4213/mzm11525 (Mi mzm11525) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching

D. N. Dautova, S. R. Nasyrov

Kazan (Volga Region) Federal University
Full-text PDF (606 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11525
Abstract: An asymptotic formula for the conformal module of a doubly connected domain symmetric about the abscissa axis under an unbounded stretching in the direction of this axis is obtained. Thereby, in the case of symmetric domains, a question asked by Vuorinen is answered.
Keywords: conformal module, doubly connected domain, quadrilateral, quasiconformal mapping, convergence of domains to a kernel, prime ends of a plane domain.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00282
This work was supported by the Russian Foundation for Basic Research under grant 17-01-00282.
Received: 14.01.2017
Revised: 10.04.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 537–549
DOI: https://doi.org/10.1134/S0001434618030215
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. N. Dautova, S. R. Nasyrov, “Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching”, Mat. Zametki, 103:4 (2018), 503–518; Math. Notes, 103:4 (2018), 537–549
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
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