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

Citation:

Zhixue LIU,Qingcai ZHANG.Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions[J].Chinese Annals of Mathematics B,2020,41(5):773~792
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Authors:

Zhixue LIU; Qingcai ZHANG

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos. 11261050, 11561061).
Abstract: 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 Cn into Pn (C), which can be seen as the improvements of previous well-known results.

Keywords:

Algebraic dependence, Uniqueness problem, Meromorphic mapping, Moving hyperplane

Classification:

32H30, 32A22, 30D35
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