Impact of successive iterations of some conformal mappings on simple curves :: IKBFU's united scientific journal editorial office

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Impact of successive iterations of some conformal mappings on simple curves

Author Kochina A. S., Protasevich M. N., Semenov V. I.
Pages 13-20
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Keywords complex function, conformal mappings, images of circle, remarkable curves
Abstract (summary) The problem of transformation of some elementary closed and non-closed curves by means of successive iterations of conformal mapping is considered. Since the analytical description of the equations of images for some conformal mappings is quite complicated, it is convenient to use the Maple computer algebra system to implement the iterative process.
References

1.  Краснов М. Л., Киселев А. И., Макаренко Г. И. Функции комплексного пере­менного. М., 2003.

2.  Клочко Т. В., Парфенова Н. Д. Решение задач комплексного анализа средст­вами MAPLE. Харьков, 2009.

3.  Кочина А. С. Замечательные кривые как образы окружностей и прямых при конформных отображениях / Диф. геом. многообр. фигур : межвуз. темат. сб. науч. тр. Калининград, 2018. Вып. 49. С. 101—106.



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