A new characteristic of Möbius transformations by use of Apollonius quadrilaterals

Author:

Haruki Hiroshi,Rassias Themistocles

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

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3. A proof of the principle of circle-transformation by the use of a theorem on univalent functions;Haruki, Hiroshi;Enseign. Math. (2),1972

4. A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping;Haruki, Hiroshi;J. Math. Anal. Appl.,1994

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