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In this article, we establish some new second main theorems for meromorphic mappings of $\mathbb{C}^{m}$ into $\mathbb{P}^{n}(\mathbb{C})$, in which the truncated counting functions have different weights. As for application, we deal with the algebraic dependence problem of meromorphic mappings sharing moving hyperplanes in general position.
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참고문헌 (11)
참고문헌 신청
H. Cartan / 1933 / Sur les zeros des combinaisons lineaires de p fonctions holomorphers don-nees / Mathematica 7:5~31
S. D. Quang / 2016 / Second main theorems with weighted counting functions and algebraic dependence of meromorphic mappings / Proc. Amer. Math. Soc 144(10):4329~4340
S. D. Quang / 2019 / Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions / Proc. Amer. Math. Soc 147(4):1657~1669
Si Duc Quang / 2013 / Unicity of Meromorphic Mappings Sharing Few Moving Hyperplanes / Vietnam Journal of Mathematics 41(4):383~398
Le Ngoc Quynh / 2017 / Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities / Asian-European Journal of Mathematics 10(03):1750040
S. D. Quang / 2016 / Second main theorems with weighted counting functions and algebraic dependence of meromorphic mappings / Proc. Amer. Math. Soc 144(10):4329~4340
S. D. Quang / 2019 / Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions / Proc. Amer. Math. Soc 147(4):1657~1669
Si Duc Quang / 2013 / Unicity of Meromorphic Mappings Sharing Few Moving Hyperplanes / Vietnam Journal of Mathematics 41(4):383~398
Le Ngoc Quynh / 2017 / Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities / Asian-European Journal of Mathematics 10(03):1750040
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