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

Huixin DAI; Tingbin CAO; Yezhou LI

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

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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.

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《数学年刊B辑（英文版）》 |2022年第3期|383-400|共18页
作者
Huixin DAI; Tingbin CAO; Yezhou LI;
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作者单位

School of Science;

Beijing University of Posts and Telecommunications;

Beijing 100876;

China;

Department of Mathematics;

Nanchang University;

Nanchang;

Jiangxi 330031;

China;

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原文格式 PDF
正文语种 chi
中图分类泛函分析;
关键词
Jackson difference operator; Nevanlinna theory; Holomorphic curve; Cartan’s second main theorem; Mason’s theorem; Polynomial;

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1. DIRECT AND INVERSE THEOREMS FOR JACKSON MEANS OF ENTIRE EXPONENTIAL TYPE IN B_α SPACES [J] . 盛宝怀 ,刘三阳 . 数学物理学报：B辑英文版 . 1999,第S1期
2. Secret Sharing Schemes based on the Chinese Remainder Theorem [C] . 王现方 ,符方伟 . 中国密码学会2018年年会 . 2018
3. Positivity and the Vanishing Theorem [A] . 禹蒲阳 . 2021

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

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