Radius of univalence of a regular function (Q920235)

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scientific article; zbMATH DE number 4163219
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Radius of univalence of a regular function
scientific article; zbMATH DE number 4163219

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    Radius of univalence of a regular function (English)
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    1990
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    The author uses previous results from the theory of Kähler geometry on homogeneous spaces and Lie algebras of vector fields to obtain a result for regular functions of the form \[ f(z)=z+c_ 1z^ 2+c_ 2z^ 3+.... \] This result implies that a certain expression is an upper bound for the radius of univalence of such a function, and the author conjectures that it is equal to the radius of univalence.
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    coefficient form
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    Kähler geometry
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    Lie algebras
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