A note on the characteristics of Möbius transformations

DOI10.1006/jmaa.2000.6888zbMath0960.30015OpenAlexW2911760680MaRDI QIDQ1580473

Niamsup, Piyapong

Publication date: 10 January 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6888

zbMATH Keywords

Newton derivativeunivalent functionsMöbius transformation

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (7)

Isometries in hyperbolic spaces ⋮ Unnamed Item ⋮ On the \(n\)-transitivity of the group of Möbius transformations on \(\mathbb{C}_{\infty}\) ⋮ Geometric characterizations of symmetric maps in the complex plane ⋮ On Metric Structures of Normed Gyrogroups ⋮ The pseudo-affine transformations in \(\mathbb R^{2}\) ⋮ A note on the characteristics of Möbius transformations. II

Cites Work

• A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping
• A new characteristic of Möbius transformations by use of Apollonius points of triangles
• A proof of the principle of circle-transformation by the use of a theorem on univalent functions
• Functional Equations and L'Hopital's Rule in an Exact Poisson Derivation
• A new characteristic of Möbius transformations by use of Apollonius quadrilaterals
• On the characterization of plane projective and complex MOEBIUS‐transformations
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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