Abstract
We shall investigate methods for constructing a mapping function for conformal mapping of a simply connected nearly circular region onto a disk. A classical method that involves series expansion in powers of a small parameter for the interior and the exterior regions, known as the method of infinite systems, is presented with case studies, in which successive approximations are used to compute the approximate mapping function.KeywordsUnit DiskMapping FunctionSuccessive ApproximationTrigonometric SeriesCircular RegionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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