Conformal mapping of a \(Z\)-shaped domain

DOI10.1134/s0965542523120187MaRDI QIDQ6190798

S. L. Skorokhodov

Publication date: 6 February 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

conformal mappingGauss hypergeometric functionsSchwarz-Christoffel integralanalytic continuation formulas\( \mathbb{Z} \)-shaped domainasymptotics of parameterscrowding of prevertices

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Schwarz-Christoffel-type mappings (30C30) Numerical methods in conformal mappings (65E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Padé approximants, symbolic evaluations, and computation of solitons in two-field antiferromagnet model
• A conformal map formula for difficult cases
• On the crowding of parameters associated with Schwarz-Christoffel transformations
• Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case
• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature
• Conformal mapping of an \(L\)-shaped domain in analytical form
• Formulas for computing the Lauricella function in the case of crowding of variables
• Numerical Computation of the Schwarz–Christoffel Transformation
• An estimate for crowding in conformal mapping to elongated regions
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Schwarz-Christoffel Mapping
• Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
• Konstruktive Methoden der konformen Abbildung
• The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
• Computational Aspects of Three-Term Recurrence Relations

This page was built for publication: Conformal mapping of a \(Z\)-shaped domain