In this paper, we investigate the Hadamard fa^torization theorem of analyticfunctions in the finite discDR={z∈C：｜z｜=r〈R〈∞}where C is the whole complex plane. Examples are given to show that our results are sharp.
Let f:C→P^(n)be a holomorphic curve of order zero.The authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theo...Let f:C→P^(n)be a holomorphic curve of order zero.The authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theorem of Jackson difference operator for holomorphic curves.In addition,a Jackson difference Mason’s theorem is proved by using a Jackson difference radical of a polynomial.Furthermore,they extend the Mason’s theorem for m+1 polynomials.Some examples are constructed to show that their results are accurate.展开更多
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into a...Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into algebraic varieties intersecting moving hypersurfaces targets. The main purpose of this paper is to give some interesting improvements of Ru’s second main theorem for moving hypersurfaces targets located in subgeneral position with index.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11461042)the Natural Science Foundation of Jiangxi Province(Grant No.20161BAB201007)the Outstanding Young Talent Assistance Program of Jiangxi Province(Grant No.20171BCB23002)
文摘In this paper, we investigate the Hadamard fa^torization theorem of analyticfunctions in the finite discDR={z∈C：｜z｜=r〈R〈∞}where C is the whole complex plane. Examples are given to show that our results are sharp.
基金supported by the National Natural Science Foundation of China(Nos.12071047,11871260)the Fundamental Research Funds for the Central Universities(No.500421126)
文摘Let f:C→P^(n)be a holomorphic curve of order zero.The authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theorem of Jackson difference operator for holomorphic curves.In addition,a Jackson difference Mason’s theorem is proved by using a Jackson difference radical of a polynomial.Furthermore,they extend the Mason’s theorem for m+1 polynomials.Some examples are constructed to show that their results are accurate.
基金supported by the National Natural Science Foundation of China(Nos.11871260,11461042)。
文摘Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into algebraic varieties intersecting moving hypersurfaces targets. The main purpose of this paper is to give some interesting improvements of Ru’s second main theorem for moving hypersurfaces targets located in subgeneral position with index.
