A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n – 1)–gons

Author:

Bulut Serap,Yilmaz Özgür Nihal

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Haruki, H.: A proof of the principle of circle–transformations by use of a theorem on univalent functions. Lenseign. Math., 18, 145–146 (1972)

2. Nehari, Z.: Conformal Mapping, McGraw–Hill Book, New York, 1952

3. Haruki, H., Rassias, T. M.: A new characteristic of M¨obius transformations by use of Apollonius points of triangles. J. Math. Anal. Appl., 197, 14–22 (1996)

4. Bulut, S., Yilmaz ¨Ozg¨ur, N. : A new characteristic of M¨obius transformations by use of Apollonius points of pentagons. Turkish J. Math., 28(3), 299–305 (2004)

5. Samaris, N.: A new characterization of M¨obius transformation by use of 2n points. J. Nat. Geom., 22(1–2), 35–38 (2002)

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