Quasiconformal Reflection with Respect to the Boundary of an Isosceles Trapezoid

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 parameters; the estimate improve the result obtained in the recent paper by S. Nasyrov, T. Sugawa, and M. Vuorinen.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1995080224605976
Primary Topic
Analytic and geometric function theory
Type
article
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article

Quasiconformal Reflection with Respect to the Boundary of an Isosceles Trapezoid

С. Р. Насыров, A. Kushaeva, K. Kushaeva
Lobachevskii Journal of Mathematics
Analytic and geometric function theory
article

Quasiconformal Reflection with Respect to the Boundary of an Isosceles Trapezoid

С. Р. Насыров, A. Kushaeva, K. Kushaeva
article en

Abstract

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 parameters; the estimate improve the result obtained in the recent paper by S. Nasyrov, T. Sugawa, and M. Vuorinen.

Lobachevskii Journal of MathematicsVol. 45(10)
Kazan Federal University (RU)
Climate action
Openalex Percentile: Top 61%
Analytic and geometric function theory
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Quasiconformal Reflection with Respect to the Boundary of an Isosceles Trapezoid — С. Р. Насыров, A. Kushaeva, et al. · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS