苏敏,李玉华,刚鹏飞.涉及 CM分担值的常系数指数多项式的唯一性[J].数学年刊A辑,2019,40(3):231~236 |
涉及 CM分担值的常系数指数多项式的唯一性 |
On the Uniqueness of Exponential Polynomials with Constant Coefficients Concerning Shared Values CM |
Received:June 20, 2018 |
DOI:10.16205/j.cnki.cama.2019.0018 |
中文关键词: Exponential polynomials, Shared value, Uniqueness |
英文关键词:Exponential polynomials, Shared value, Uniqueness |
基金项目: |
Author Name | Affiliation | E-mail | SU Min | School of Science, China University of Mining and Technology, Beijing 100083, China School of Mathematics, Yunnan Normal University, Kunming 650500, China. | mathesumin@yahoo.com | LI Yuhua | Corresponding author. School of Mathematics, Yunnan Normal University, Kunming 650500, China. | liyuhua@ynnu.edu.cn | GANG Pengfei | Corresponding author. School of Mathematics, Yunnan Normal University, Kunming 650500, China. | 2436079266@qq.com |
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中文摘要: |
主要证明了两个非常数的常系数指数多项式, 如果在复平面中
4个张角严格大于$\pi$的每一个角域内都有1个有穷的${\rm CM}$分担值, 且这4个分担值是判别的, 则它们必然恒等. |
英文摘要: |
In this paper, the authors prove that two non-constant exponential
polynomials with constant coefficients must be identical, provide that they
share four distinct {\rm CM} values while each {\rm CM} value lies in an angular domain
of opening strictly larger than $\pi.$ |
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