Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator  

作　　者：Huixin DAI Tingbin CAO Yezhou LI 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China [2]Department of Mathematics,Nanchang University,Nanchang,Jiangxi 330031,China

出　　处：《Chinese Annals of Mathematics,Series B》2022年第3期383-400,共18页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12071047,11871260);the Fundamental Research Funds for the Central Universities(No.500421126)

摘　　要：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.

关 键 词：Jackson difference operator Nevanlinna theory Holomorphic curve Cartan’s second main theorem Mason’s theorem POLYNOMIAL 

分 类 号：O177[理学—数学]