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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
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.
Received: 14.01.2017 Revised: 10.04.2017
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
Linking options:
https://www.mathnet.ru/eng/mzm11525https://doi.org/10.4213/mzm11525 https://www.mathnet.ru/eng/mzm/v103/i4/p503
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Abstract page: | 619 | Full-text PDF : | 82 | References: | 74 | First page: | 40 |
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