On homogeneous expansion of normalized biholomorphic starlike mappings on the unit polydisk (Q2755689)
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scientific article; zbMATH DE number 1671595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On homogeneous expansion of normalized biholomorphic starlike mappings on the unit polydisk |
scientific article; zbMATH DE number 1671595 |
Statements
22 October 2002
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normalized biholomorphic map
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polydisc
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starlike map
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Jacobian determinant
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On homogeneous expansion of normalized biholomorphic starlike mappings on the unit polydisk (English)
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Let \(f\) be a normalized biholomorphic map from the polydisc \(\Delta^n\) to \({\mathbb C}^n\). A necessary and sufficient condition for \(f\) being a starlike map is found in terms of the terms in its power series and its Jacobian determinant.
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