Difference analogues of the second main theorem for meromorphic functions in several complex variables

被引：16

作者：

Cao, Ting-Bin ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2014年 / 287卷 / 5-6期

关键词：

Meromorphic function; difference operator; Nevanlinna theory; several complex variables; 32A22; 32H25; 30D35; NEVANLINNA THEORY; PROJECTIVE SPACE; EQUATIONS; OPERATOR; MAPS;

D O I：

10.1002/mana.201200234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain difference analogues of the second main theorem for meromorphic functions in several complex variables from which difference analogues of Picard-type theorems are also obtained. Our results are improvements or extensions of some recent results of papers [Proc. Royal Soc. Edinburgh Section A Math. 137, 457-474 (2007); Comput. Meth. Funct. Theor. 12, No. 1, 343-361 (2012)]. The method we used is very different from theirs.

引用

页码：530 / 545

页数：16

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