3 papers
math.CV2023
Asymptotics of the exterior conformal modulus of an arbitrary quadrilateral under stretching map
Senen R. Nasyrov, Giang V. Nguyen
In this paper, we focus on studying the distortion of the exterior conformal modulus of a quadrilateral of sufficiently arbitrary form under the stretching map along the abscissa a…
math.CV2023
Asymptotics of the exterior conformal modulus of a symmetric quadrilateral under stretching map
A. Dyutin, Giang V. Nguyen
In this work, we study the distortion of the exterior conformal modulus of a symmetric quadrilateral, when stretched in the direction of the abscissa axis with the coefficient $H\t…
math.CV2022
Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching
Giang V. Nguyen, Semen R. Nasyrov
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 direc…