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A new characterization of Möbius transformations by use of Apollonius hexagons |
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| Authors: | Hiroshi Haruki Themistocles M Rassias |
| Institution: | Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 Themistocles M. Rassias ; Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece |
| Abstract: | The purpose of this paper is to give a new characterization of Möbius transformations from the standpoint of conformal mappings. To this end a new concept of Apollonius hexagons on the complex plane is used. |
| Keywords: | M\"obius transformations conformal mapping Apollonius hexagons |
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