Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions
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- by Si Duc Quang
- Proc. Amer. Math. Soc. 147 (2019), 1657-1669
- DOI: https://doi.org/10.1090/proc/14377
- Published electronically: January 9, 2019
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Erratum: Proc. Amer. Math. Soc. 148 (2020), 3195-3197.
Abstract:
In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf {C}^m$ into $\mathbf {P}^n(\mathbf {C})$ and moving hyperplanes with truncated counting functions. Our results are improvements of the previous second main theorems for moving hyperplanes with truncated (to level $n$) counting functions.References
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Bibliographic Information
- Si Duc Quang
- Affiliation: Department of Mathematics, Hanoi National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Vietnam β and β Thang Long Institute of Mathematics and Applied Sciences, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam
- Email: quangsd@hnue.edu.vn
- Received by editor(s): July 11, 2018
- Received by editor(s) in revised form: August 20, 2018
- Published electronically: January 9, 2019
- Additional Notes: This research was funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2018.01.
- Communicated by: Filippo Bracci
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 1657-1669
- MSC (2010): Primary 32H30, 32A22; Secondary 30D35
- DOI: https://doi.org/10.1090/proc/14377
- MathSciNet review: 3910430