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Difference analogues of the second main theorem of zero-order meromorphic mappings for slowly moving targets

Pham Duc Thoan

Department of Mathematics, National University of Civil Engineering, 55 Giai Phong str., Hanoi, Vietnam

https://doi.org/10.1142/S1793557118500535Cited by:1 (Source: Crossref)

Abstract

In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in $ℙ^{m} (ℂ)$ by considering their $p$ -Casorati determinant. Our results are $p$ -difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of $ℂ^{m}$ into $ℙ^{m} (ℂ)$ under the growth condition “order $= 0$ ”.

Communicated by A. Escassut

Keywords:

AMSC: 32H30, 30D35, 32H30

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