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A new characteristic of Möbius
transformations by use of
Apollonius quadrilaterals


Authors: Hiroshi Haruki and Themistocles M. Rassias
Journal: Proc. Amer. Math. Soc. 126 (1998), 2857-2861
MSC (1991): Primary 32A20
MathSciNet review: 1485479
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Abstract: The purpose of this paper is to give a new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping. To this end a new concept of ``Apollonius quadrilaterals'' is used.


References [Enhancements On Off] (What's this?)

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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

DOI: https://doi.org/10.1090/S0002-9939-98-04736-4
Received by editor(s): February 18, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society