Geodesic
Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 503-518

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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.
Mots-clés : conformal module, convergence of domains to a kernel
Keywords: doubly connected domain, quadrilateral, quasiconformal mapping, prime ends of a plane domain. 
@article{MZM_2018_103_4_a2,
     author = {D. N. Dautova and S. R. Nasyrov},
     title = {Asymptotics of the {Modules} of {Mirror} {Symmetric} {Doubly} {Connected} {Domains} under {Stretching}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--518},
     publisher = {mathdoc},
     volume = {103},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a2/}
}
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D. N. Dautova; S. R. Nasyrov. Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 503-518. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a2/