DETERMINING PARAMETERS OF CONFORMAL MAPPINGS FROM THE UPPER HALF-PLANE ONTO STRAIGHT-LINE PERIODIC POLYGONS WITH DOUBLE SYMMETRY AND ONTO CIRCULAR PERIODIC POLYGONS

DOI10.17223/19988621/60/4zbMath1497.30004OpenAlexW2972470191MaRDI QIDQ5046336

I. A. Kolesnikov

Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu721

zbMATH Keywords

conformal mappingaccessory parametersSchwarz-Christoffel integralKufarev's methodSchwarz equationperiodic polygon

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30)

Related Items

A one-parametric family of conformal mappings from the half-plane onto a family of polygons ⋮ Conformal mapping from the half-plane onto a circular polygon with cusps

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• Conformal-mapping-based coordinate generation method for flows in periodic configurations
• Kufarev's method for determining the Schwarz-Christoffel parameters
• Elliptic integrals and the Schwarz-Christoffel transformation
• Conformal mappings of a half-plane onto domains with transfer symmetry
• Conformal mapping onto numerable polygon with double symmetry
• Schwarz-Christoffel Mapping
• On the problem of determining parameters in the Schwarz equation