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Some remarks on Schwarz-Christoffel transformations from the unit disk to a regular polygon and their numerical computation. (English) Zbl 1051.30013

Summary: We give a description of some particular aspects of Schwarz-Christoffel transformations either from a theoretical point of view or related to numerical approach. Furthermore some interesting geometrical properties of these transforms are shown and displayed by means of a graphical interface. In particular, an approximation of the identity in the unit disk of \(\mathbb{C}\) by means of a sequence of Schwarz-Christoffel transformations is exhibited.

MSC:

30C20 Conformal mappings of special domains
30C30 Schwarz-Christoffel-type mappings
40A30 Convergence and divergence of series and sequences of functions
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