A new characterization of Mobius transformations by use of Apollonius hexagons

Citation
H. Haruki et Tm. Rassias, A new characterization of Mobius transformations by use of Apollonius hexagons, P AM MATH S, 128(7), 2000, pp. 2105-2109
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
7
Year of publication
2000
Pages
2105 - 2109
Database
ISI
SICI code
0002-9939(2000)128:7<2105:ANCOMT>2.0.ZU;2-Z
Abstract
The purpose of this paper is to give a new characterization of Mobius trans formations from the standpoint of conformal mappings. To this end a new con cept of Apollonius hexagons on the complex plane is used.