S. Nasyrov

collaborators

3 papers

math.CV2026

Distortion of the triangular ratio metric under Moebius transformations

S. Nasyrov

Let $U$ be the unit disk in the complex plane. Denote by $s_{U} (x, y)$ the triangular ratio metric in $U$ ; the value of $s_{U} (x, y)$ equals the ratio…

math.CV2026

Comparison of hyperbolic metric and triangular ratio metric in a square

A. Kushaeva, S. Nasyrov

Let $K$ be a square in the plane and $ρ_{K} (x, y)$ be the hyperbolic distance between $x$ , $y \in K$ . Denote by $s_{K} (x, y)$ the triangular ratio metric in $K$ ; for $x \neq = y$ the value o…

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…