Bonciani, Damiano; Vlacci, Fabio Some remarks on Schwarz-Christoffel transformations from the unit disk to a regular polygon and their numerical computation. (English) Zbl 1051.30013 Complex Variables, Theory Appl. 49, No. 4, 271-284 (2004). 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. Cited in 1 Document MSC: 30C20 Conformal mappings of special domains 30C30 Schwarz-Christoffel-type mappings 40A30 Convergence and divergence of series and sequences of functions Keywords:Schwarz-Christoffel transformations; Riemann mapping theorem for regular polygons Software:Schwarz-Christoffel PDFBibTeX XMLCite \textit{D. Bonciani} and \textit{F. Vlacci}, Complex Variables, Theory Appl. 49, No. 4, 271--284 (2004; Zbl 1051.30013) Full Text: DOI