On the Nevanlinna's Theory for Vector-Valued Mappings

Zu-Xing Xuan and Nan Wu

Abstract and Applied Analysis, 2010, vol. 2010, 1-15

Abstract:

The purpose of this paper is to establish the first and second fundamental theorems for an E -valued meromorphic mapping from a generic domain D ⊂ ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of C. Hu and Q. Hu. For f ( z ) defined in the disk, we will prove Chuang's inequality, which is to compare the relationship between T ( r , f ) and T ( r , f ′ ) . Consequently, we obtain that the order and the lower order of f ( z ) and its derivative f ′ ( z ) are the same.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:864539

DOI: 10.1155/2010/864539

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