Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching
- Authors: Dautova D.N.1, Nasyrov S.R.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 103, No 3-4 (2018)
- Pages: 537-549
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150714
- DOI: https://doi.org/10.1134/S0001434618030215
- ID: 150714
Cite item
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.
About the authors
D. N. Dautova
Kazan Federal University
Author for correspondence.
Email: dautovadn@gmail.com
Russian Federation, Kazan
S. R. Nasyrov
Kazan Federal University
Email: dautovadn@gmail.com
Russian Federation, Kazan
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