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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new characteristic of Möbius transformations by use of Apollonius quadrilaterals
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by Hiroshi Haruki and Themistocles M. Rassias PDF
Proc. Amer. Math. Soc. 126 (1998), 2857-2861 Request permission

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.
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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
  • Received by editor(s): February 18, 1997
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2857-2861
  • MSC (1991): Primary 32A20
  • DOI: https://doi.org/10.1090/S0002-9939-98-04736-4
  • MathSciNet review: 1485479