Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching
Complex Variables
2022-08-10 v1
Abstract
We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-connected domain, non-symmetric with respect to the coordinate axes, when stretched in the direction of the abscissa axis with coefficient . Therefore, we give a partial answer to a problem, suggested by M.~Vourinen, for the case of an arbitrary unbounded domain.
Cite
@article{arxiv.2208.04603,
title = {Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching},
author = {Giang V. Nguyen and Semen R. Nasyrov},
journal= {arXiv preprint arXiv:2208.04603},
year = {2022}
}
Comments
15 pages, 5 figures