Abstract and Applied Analysis

On the Nevanlinna's Theory for Vector-Valued Mappings

Zu-Xing Xuan and Nan Wu

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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 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.

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Abstr. Appl. Anal., Volume 2010 (2010), Article ID 864539, 15 pages.

First available in Project Euclid: 1 November 2010

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Xuan, Zu-Xing; Wu, Nan. On the Nevanlinna's Theory for Vector-Valued Mappings. Abstr. Appl. Anal. 2010 (2010), Article ID 864539, 15 pages. doi:10.1155/2010/864539. https://projecteuclid.org/euclid.aaa/1288620724

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