A one-parametric family of conformal mappings from the half-plane onto a family of polygons

DOI10.1134/S0037446620050055zbMath1450.30023OpenAlexW3091561144MaRDI QIDQ2202764

I. A. Kolesnikov, A. Kh. Sharofov

Publication date: 30 September 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620050055

zbMATH Keywords

conformal mappingpolygonSchwarz-Christoffel integral

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items

A one-parametric method for determining parameters in the Schwarz-Christoffel integral

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SCPACK

Cites Work

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• On a variational method for solving hydrodynamical free boundary problems
• On conformal mapping of polygonal regions
• Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
• Numerical Computation of the Schwarz–Christoffel Transformation
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Schwarz-Christoffel Mapping
• On the problem of determining parameters in the Schwarz equation
• DETERMINING PARAMETERS OF CONFORMAL MAPPINGS FROM THE UPPER HALF-PLANE ONTO STRAIGHT-LINE PERIODIC POLYGONS WITH DOUBLE SYMMETRY AND ONTO CIRCULAR PERIODIC POLYGONS
• Families of elliptic functions and uniformization of complex tori with a unique point over infinity