A new characterization of Möbius transformations by use of Apollonius hexagons
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- by Hiroshi Haruki and Themistocles M. Rassias PDF
- Proc. Amer. Math. Soc. 128 (2000), 2105-2109 Request permission
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.References
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Additional Information
- Hiroshi Haruki
- Affiliation: Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- Themistocles M. Rassias
- Affiliation: Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
- Email: trassias@math.ntua.gr
- Published electronically: February 25, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2105-2109
- MSC (1991): Primary 39B40; Secondary 33A70
- DOI: https://doi.org/10.1090/S0002-9939-00-05246-1
- MathSciNet review: 1653398