D. N. Dautova, S. R. Nasyrov, “Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching”, Mat. Zametki, 2018, Volume 103, Issue 4,Pages <nobr>503

This article is cited 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.

UDC: 517.5

Received: 14.01.2017
Revised: 10.04.2017

DOI: 10.4213/mzm11525