Sufficient conditions for univalence in ℂ n
The method of subordination chains is used to establish new univalence criteria for holomorphic mappings in the unit ball of ℂ n. Various criteria involving the first and the second derivative of a holomorphic mapping in the unit ball of ℂ n are developed.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202110015 |
| Summary: | The method of subordination chains is used to establish new univalence criteria for holomorphic mappings in the unit ball of ℂ n. Various criteria involving the first and the second derivative of a holomorphic mapping in the unit ball of ℂ n are developed. |
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| ISSN: | 0161-1712 1687-0425 |