Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 5, p. 755 .

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In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings over the field $\mathcal P^1_c$ of $c$-periodic meromorphic functions having their hyper-orders strictly less than one in $\mathbb C^m$ intersecting slowly moving targets in $\mathbb P^n(\mathbb C)$. As an application, we give some Picard type theorems for meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)$ under the growth condition hyper-order less than one.
Classification : 32A22 30D35, 32H25
Keywords: second main theorem, meromorphic mappings, Nevanlinna theory, Casorati determinant, moving targets
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Duc Thoan Pham; Dang Tuyen Nguyen; Thi Tuyet Luong. Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 5, p. 755 . http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a7/