The Ahlfors map and Szegő kernel for an annulus

DOI10.1216/RMJM/1181071660zbMath0934.30004OpenAlexW1995127333MaRDI QIDQ1806251

Thomas J. Tegtmeyer, Anthony D. Thomas

Publication date: 20 December 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html

zbMATH Keywords

Szegő kernelAhlfors map

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30) Kernel functions in one complex variable and applications (30C40)

Related Items (6)

Infinite product representation for the Szegö kernel for an annulus ⋮ Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ A Riemann mapping theorem for two-connected domains in the plane ⋮ Equivalence problem for annuli and Bell representations in the plane ⋮ Szegő kernel transformation law for proper holomorphic mappings ⋮ Analytical solution for finding the second zero of the Ahlfors map for an annulus region

Cites Work

• 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
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
• A Fast Algorithm for the Numerical Evaluation of Conformal Mappings

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