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A new characterization of Möbius transformations by use of Apollonius hexagons
Authors:Hiroshi Haruki   Themistocles M. Rassias
Affiliation: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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