Approximation of analytic functions with prescribed boundary conditions by circle packing maps
Tomasz Dubejko
Abstract
We use recent advances in circle packing theory to develop a constructive method for the approximation of an analytic function F:Ω C by circle packing maps providing we have only been given Ω, |F'||Ω, and the set of critical points of F. This extends the earlier result of Ithiel Carter and Burt Rodin [CR] for F with no critical points.
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