Conformal mapping of unbounded multiply connected regions onto canonical slit regions

DOI10.1155/2012/293765zbMath1267.30020OpenAlexW1975928465WikidataQ58696250 ScholiaQ58696250MaRDI QIDQ696038

Mohamed M. S. Nasser, Arif A. M. Yunus, Ali Hassan Mohamed Murid

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/293765

zbMATH Keywords

boundary integral equationcanonical domainsslit regions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Conformal mappings of special domains (30C20)

Cites Work

• Circular slits map of bounded multiply connected regions
• Annulus with circular slit map of bounded multiply connected regions via integral equation method
• Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains
• Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
• Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
• Parallel slits map of bounded multiply connected regions
• A boundary integral equation for conformal mapping of bounded multiply connected regions
• The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
• Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
• The Numerical Solution of Integral Equations of the Second Kind
• A Charge Simulation Method for Numerical Conformal Mapping onto Circular and Radial Slit Domains
• Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains
• Radial and circular slit maps of unbounded multiply connected circle domains
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