A new characteristic of Möbius transformations by use of Apollonius points of triangles

DOI10.1006/jmaa.1996.0002zbMath0857.39012OpenAlexW2062887668MaRDI QIDQ1916693

Themistocles M. Rassias, Hiroshi Haruki

Publication date: 10 March 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0002

zbMATH Keywords

Möbius transformationsfunctional equationsanalytic functionsunivalent functionsmeromorphic functionsApollonius points of trianglesMöbius linear rational functions

Mathematics Subject Classification ID

Functional equations for complex functions (39B32) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (16)

Isometries in hyperbolic spaces ⋮ Unnamed Item ⋮ A new characteristic of Möbius transformations by use of polygons having type a ⋮ On the \(n\)-transitivity of the group of Möbius transformations on \(\mathbb{C}_{\infty}\) ⋮ Geometric characterizations of symmetric maps in the complex plane ⋮ On transformations that preserve fixed anharmonic ratio ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ On Metric Structures of Normed Gyrogroups ⋮ Apollonius points and anharmonic ratios ⋮ A four-point criterion for the Möbius property of a homeomorphism of plane domains ⋮ A characterization of Möbius transformations ⋮ On the properties of sphere-preserving maps ⋮ The pseudo-affine transformations in \(\mathbb R^{2}\) ⋮ A note on the characteristics of Möbius transformations. II ⋮ A note on the characteristics of Möbius transformations ⋮ A new characterization of Möbius transformations by the use of Apollonius points of \((2n-1)\)-gons

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