Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions

The aim of the paper is to deal with the algebraic dependence and uniqueness problem for meromorphic mappings by using the new second main theorem with different weights involved the truncated counting functions, and some interesting uniqueness results are obtained under more general and weak condit...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 41; no. 5; pp. 773 - 792
Main Authors Liu, Zhixue, Zhang, Qingcai
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020
Springer Nature B.V
School of Mathematics, Renmin University of China, Beijing 100872, China
Subjects
Applications of Mathematics
Hyperplanes
Mathematics
Mathematics and Statistics
Uniqueness
Uniqueness problem
32H30
Meromorphic mapping
32A22
Moving hyperplane
30D35
Algebraic dependence
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Summary:The aim of the paper is to deal with the algebraic dependence and uniqueness problem for meromorphic mappings by using the new second main theorem with different weights involved the truncated counting functions, and some interesting uniqueness results are obtained under more general and weak conditions where the moving hyperplanes in general position are partly shared by mappings from ℂ n into ℙ N (ℂ), which can be seen as the improvements of previous well-known results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-020-0233-6