Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A new characterization of Möbius transformations by use of Apollonius hexagons

Author(s): Hiroshi Haruki; Themistocles M. Rassias
Journal: Proc. Amer. Math. Soc. 128 (2000), 2105-2109.
MSC (1991): Primary 39B40; Secondary 33A70
Posted: February 25, 2000
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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:

1.: H. S. M. Coxeter and S. L. Greitzer, Geometry Revisited, Random House, New York, 1967.
2.: B. A. Fuchs and B. V. Shabat, Functions of a Complex Variable I, Pergamon Press, 1964. MR 28:4087
3.: H. Haruki and Th. M. Rassias, A new characteristic of Möbius transformations by use of Apollonius quadrilaterals, Proc. Amer. Math. Soc. 126 (10) (1998), 2857-2861. CMP 99:04
4.: H. Haruki, A proof of the principle of circle-transformation by the use of a theorem on univalent functions, L'Enseignement Mathematique 18 (2) (1972), 145-146. MR 48:4312
5.: S. Rabinowitz (ed.), Index to Mathematical Problems 1980-1984, MathPro Press, 1992.


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS