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


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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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