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http://dx.doi.org/10.4134/BKMS.b190135

THE WEIGHTED SECOND MAIN THEOREM AND ALGEBRAIC DEPENDENCE OF MEROMORPHIC MAPPINGS SHARING MOVING HYPERPLANES  

Cao, Hongzhe (Department of Mathematics Nanchang University)
Duan, Lizhen (Department of Mathematics Nanchang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.1, 2020 , pp. 179-194 More about this Journal
Abstract
In this article, we establish some new second main theorems for meromorphic mappings of ℂm into ℙn(ℂ), in which the truncated counting functions have different weights. As for application, we deal with the algebraic dependence problem of meromorphic mappings sharing moving hyperplanes in general position.
Keywords
Second main theorem; algebraic dependence; moving hyperplanes;
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