A Riemann mapping theorem for two-connected domains in the plane

DOI10.1007/BF03321730zbMath1158.30006arXiv0801.2376MaRDI QIDQ2378586

Ersin Deger, Steven R. Bell, Thomas J. Tegtmeyer

Publication date: 13 January 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2376

zbMATH Keywords

Bergman kernelconformal mapdoubly connected domainSzegő kernelAhlfors map

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (1)

Rational Ahlfors functions

Cites Work

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• Equivalence problem for annuli and Bell representations in the plane
• Numerical conformal mapping via the Szegö kernel
• Numerical computation of the Ahlfors map of a multiply connected planar domain
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• The Ahlfors map and Szegő kernel for an annulus
• Complexity in complex analysis.
• Finitely generated function fields and complexity in potential theory in the plane
• Conformal mappings from annuli to canonical doubly connected Bell representations
• Conformal mappings between canonical multiply connected domains
• The Green's function and the Ahlfors map
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
• Proper holomorphic self-maps of plane regions
• Bell representations of finitely connected planar domains
• Complexity of the classical kernel functions of potential theory

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