Abstract
We use recent advances in circle-packing theory to develop a constructive method for the approximation of an analytic functionF: Ω →C by circle packing maps providing we have only been given ΩF’dΩ, and the set of critical points ofF. This extends the earlier results of Carter and Rodin and of Colin de Verdière and Mathéus, for functionsF with no critical points.
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