Item Infomation
| Title: | Degeneracy theorems for holomorphic mappings from a complex disc with finite growth index |
| Authors: | Nguyen Thi Nhung |
| Keywords: | Nevanlinna theory; holomorphic mapping; hyperplane; degeneracy theorem |
| Issue Date: | 2024 |
| Publisher: | Thang Long Journal of Science |
| Series/Report no.: | Vol. 3 No. 1 (2024) Mathematics and Mathematical Sciences; |
| Abstract: | Abstract. In this paper, we prove degeneracy theorems for holomorphic mappings from a complex disc Δ(R) ⊂ C with finite growth index into Pn(C) sharing hyperplanes in general position. We further consider the case that intersecting points of the mappings and the hyperplanes with multiplicities more than a certain number do not need to be counted. These results generalize the previous degeneracy theorems for meromorphic mappings from Cm into Pn(C). |
| URI: | http://thuvienso.thanglong.edu.vn//handle/TLU/13270 |
| Appears in Collections | Số 1 Tập C3 - 2024 |
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