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arxiv: 1006.3286 · v1 · pith:L72JQ6QBnew · submitted 2010-06-16 · 🧮 math.CV

Solution of a Loewner Chain Equation in Several Complex Variables

classification 🧮 math.CV
keywords mappingschainequationloewnersolutionspirallikeasymptoticallycase
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We find a solution to the Loewner chain equation in the case when the infinitesimal generator satisfies h(0,t)=0, Dh(0,t)=A for any linear operator with m(A)>0. We also study the related classes of spirallike mappings, mappings with parametric representation and asymptotically spirallike mappings.

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