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math.CV2024
Quasiconformal reflection with respect to the boundary of an isosceles trapezoid
A. Kushaeva, K. Kushaeva, S. Nasyrov
We establish an upper estimate for the coefficient of quasiconformal reflection with respect to the boundary of an arbitrary isosceles trapezoid in terms of its geometric parameter…
math.CV2023★ 1 cited
One-parameter families of conformal mappings of the half-plane onto polygonal domains with several slits
A. Posadskii, S. Nasyrov
Among various methods of finding accessory parameters in the Schwarz-Christoffel integrals, Kufarev's method, based on the Loewner differential equation, plays an important role. I…
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…