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arXiv · 2208.04603

Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching

Giang V. Nguyen·Semen R. Nasyrov
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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 $H\to +\infty$. Therefore, we give a partial answer to a problem, suggested by M.~Vourinen, for the case of an arbitrary unbounded domain.

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Giang V. Nguyen, Semen R. Nasyrov. 2022-08-09. Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching. https://arxiv.org/abs/2208.04603

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