Open Access
2010 On the Nevanlinna's Theory for Vector-Valued Mappings
Zu-Xing Xuan, Nan Wu
Abstr. Appl. Anal. 2010: 1-15 (2010). DOI: 10.1155/2010/864539


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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Zu-Xing Xuan. Nan Wu. "On the Nevanlinna's Theory for Vector-Valued Mappings." Abstr. Appl. Anal. 2010 1 - 15, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1194.30035
MathSciNet: MR2660383
Digital Object Identifier: 10.1155/2010/864539

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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