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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 ℂn into ℙN (ℂ), which can be seen as the improvements of previous well-known results.

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Acknowledgement

The authors want to express their thanks to the anonymous referees for their suggestions and comments that improved the quality of the paper.

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Authors and Affiliations

  1. School of Mathematics, Renmin University of China, Beijing, 100872, China

    Zhixue Liu & Qingcai Zhang

Authors
  1. Zhixue Liu
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  2. Qingcai Zhang
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Correspondence to Qingcai Zhang.

Additional information

This work was supported by the Fund of China Scholarship Council (No. 201806360222)

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Liu, Z., Zhang, Q. Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions. Chin. Ann. Math. Ser. B 41, 773–792 (2020). https://doi.org/10.1007/s11401-020-0233-6

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  • DOI: https://doi.org/10.1007/s11401-020-0233-6

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