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

Zhixue Liu , Qingcai Zhang

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (5) : 773 -792.

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Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (5) : 773 -792. DOI: 10.1007/s11401-020-0233-6
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Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions

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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 ℂ n into ℙ N (ℂ), which can be seen as the improvements of previous well-known results.

Keywords

Algebraic dependence / Uniqueness problem / Meromorphic mapping / Moving hyperplane

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Zhixue Liu, Qingcai Zhang. Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions. Chinese Annals of Mathematics, Series B, 2020, 41(5): 773-792 DOI:10.1007/s11401-020-0233-6

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