Geodesic
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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{KJM_2023_47_5_a7,
     author = {Duc Thoan Pham and Dang Tuyen Nguyen and Thi Tuyet Luong},
     title = {Difference {Analogues} of {Second} {Main} {Theorem} and {Picard} {Type} {Theorem} for {Slowly} {Moving} {Periodic} {Targets}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {755 },
     publisher = {mathdoc},
     volume = {47},
     number = {5},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a7/}
}
TY  - JOUR
AU  - Duc Thoan Pham
AU  - Dang Tuyen Nguyen
AU  - Thi Tuyet Luong
TI  - Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets
JO  - Kragujevac Journal of Mathematics
PY  - 2023
SP  - 755 
VL  - 47
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a7/
LA  - en
ID  - KJM_2023_47_5_a7
ER  - 
%0 Journal Article
%A Duc Thoan Pham
%A Dang Tuyen Nguyen
%A Thi Tuyet Luong
%T Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets
%J Kragujevac Journal of Mathematics
%D 2023
%P 755 
%V 47
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2023_47_5_a7/
%G en
%F KJM_2023_47_5_a7
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/