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A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping - MaRDI portal

A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping (Q1323164)

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scientific article; zbMATH DE number 566975
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English
A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping
scientific article; zbMATH DE number 566975

    Statements

    A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping (English)
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    16 June 1994
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    The characterization offered identifies the Möbius transformations among those representing (univalent) meromorphic complex functions, analytic on a nontrivial region, by the property that they preserve the sums of opposite angles in nonintersecting quadrangles.
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    quadrangles
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    angles
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    circle-preserving transformations
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    removable singularities
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    open mapping theorems
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    Möbius transformations
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