Second main theorems with weighted counting functions and its applications

Pham Duc Thoan (), Nguyen Hai Nam () and Nguyen Van An ()
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Pham Duc Thoan: National University of Civil Engineering
Nguyen Hai Nam: National University of Civil Engineering
Nguyen Van An: Banking Academy

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 849-861

Abstract: Abstract The purpose of this article has two fold. The first is to generalize some recent second main theorems for the mappings and moving hyperplanes of ℙn(ℂ) to the case where the counting functions are truncated multiplicity (by level n) and have different weights. As its application, the second purpose of this article is to generalize and improve some algebraic dependence theorems for meromorphic mappings having the same inverse images of some moving hyperplanes to the case where the moving hyperplanes involve the assumption with different roles.

Keywords: Nevanlinna; second main theorem; meromorphic mapping; moving hyperplane (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0358-z

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