A new characterization of Möbius transformations by use of Apollonius hexagons

Hiroshi Haruki, Themistocles M. Rassias
2000 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-00-05246-1 fatcat:a7oj5blp7rhgtgwvd43gvi76ne