The Schwarz problem in multiply connected domains and the Schottky–Klein prime function

DOI10.1080/17476930701682897zbMath1133.30302OpenAlexW2081634331MaRDI QIDQ5451471

Darren G. Crowdy

Publication date: 27 March 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701682897

zbMATH Keywords

Schwarz problemSchottky-Klein prime functionmultiply connected

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Kernel functions in one complex variable and applications (30C40)

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Cites Work

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• Schwarz-Christoffel mapping of bounded, multiply connected domains
• On removal of periods of conjugate functions in multiply connected domains
• A theory of exact solutions for annular viscous blobs
• Quadrature identities and the Schottky double
• Schwarz-Christoffel mapping of multiply connected domains
• A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
• Green's functions for Laplace's equation in multiply connected domains

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