A Second Main Theorem on P~n for difference operator

The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nramf(r)in the classical Second Main Theorem by the counting function of a finite diffe...

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Bibliographic Details
Published in:中国科学：数学英文版 2009 (12), p.2751-2758
Main Author: WONG Pit-Mann LAW Hiu-Fai WONG Philip P.W
Format: Article
Language:English
Subjects:
difference
finite
Main
order
ramification
Second
Theorem
Online Access:Get full text
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Summary:The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nramf(r)in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r).In this article,the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into Pn of finite order.
ISSN:1674-7283
1869-1862