SECOND MAIN THEOREMS AND ALGEBRAIC DEPENDENCE OF MEROMORPHIC MAPPINGS ON PARABOLIC MANIFOLDS WITH MOVING TARGETS

被引：0

作者：

Quang, Si Duc ^{[1
,2
]}

An, Nguyen Van ^{[3
]}

Thoan, Pham Duc ^{[4
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

[3] Banking Acad, Div Math, 12 Chua Boc, Hanoi, Vietnam

[4] Hanoi Univ Civil Engn, Dept Math, 55 Giai Phong Str, Hanoi, Vietnam

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2023年 / 77卷 / 02期

关键词：

Nevanlinna theory; second main theorem; meromorphic mapping; moving hyperplane; UNIQUENESS THEOREM; COMPLEX-VARIABLES; DEFECT RELATION; MAPS;

D O I：

10.2206/kyushujm.77.203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is twofold. The first is to give some forms of the second main theorem in Nevanlinna theory for meromorphic mappings from parabolic manifolds intersecting moving targets in general position with truncated counting functions, which are improvements of some recent results. The second is to apply the above forms to the proof of an algebraic dependence theorem for meromorphic mappings on parabolic manifolds sharing moving targets regardless of multiplicity.

引用

页码：203 / 220

页数：18

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