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Turkish Journal of Mathematics

DOI

10.3906/mat-1806-22

Abstract

In this paper, we deal with a conjecture related to the images of ellipses (resp. circles) under similarities that are the special Möbius transformations. We consider ellipses (resp. circles) corresponding to any norm function (except in the Euclidean case) on the complex plane and examine some conditions to confirm this conjecture. Some illustrative examples are also given.

Keywords

Möbius transformation, ellipse, norm

First Page

3204

Last Page

3210

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