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Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator
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作者 Huixin DAI Tingbin CAO Yezhou LI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第3期383-400,共18页
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
关键词 jackson difference operator Nevanlinna theory Holomorphic curve Cartan’s second main theorem Mason’s theorem POLYNOMIAL
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