具有 $Ac$-分担函数的亚纯函数的拟周期性和唯一性

数学物理学报 ›› 2026, Vol. 46 ›› Issue (1): 31-57.

具有 $Ac$-分担函数的亚纯函数的拟周期性和唯一性

胡可奇(), 张庆彩^*()

中国人民大学数学学院北京 100872

收稿日期:2024-05-20 修回日期:2025-08-01 出版日期:2026-02-26 发布日期:2026-01-19
通讯作者: 张庆彩 E-mail:kqhumath@163.com;zhangqcrd@163.com
作者简介:胡可奇, Email: kqhumath@163.com
基金资助:
国家自然科学基金(12571082)

Quasi-Periodicity and Uniqueness of Meromorphic Functions with $Ac$-Shared Functions

Keqi Hu(), Qingcai Zhang^*()

School of Mathematics, RUC, Beijing 100872

Received:2024-05-20 Revised:2025-08-01 Online:2026-02-26 Published:2026-01-19
Contact: Qingcai Zhang E-mail:kqhumath@163.com;zhangqcrd@163.com
Supported by:
NSFC(12571082)

摘要/Abstract

摘要：

该文研究了具有 $Ac$-分担函数的亚纯函数的拟周期性. 在论文的后半部分, 给出了一个关于拟周期函数的唯一性定理. 该研究通过将某些方程转化为向量形式, 并利用 MATLAB 处理部分繁琐的计算步骤, 成功简化了加法型拟周期函数唯一性定理的证明过程.

关键词: 亚纯函数, 拟周期性, $Ac$-分担, 唯一性

Abstract:

The paper focuses on the quasi-periodicity of meromorphic functions with $Ac$-shared functions. At the latter part of the paper, we give a uniqueness theorem for quasi-periodic functions. The proofs of the uniqueness theorem of additive quasi-periodic function are simplified by converting some equations into vectors and using MATLAB for some tedious procedures.

Key words: meromorphic function, quasi-periodicity, $Ac$-shared, uniqueness

中图分类号:

O174.52

胡可奇, 张庆彩. 具有 $Ac$-分担函数的亚纯函数的拟周期性和唯一性[J]. 数学物理学报, 2026, 46(1): 31-57.

Keqi Hu, Qingcai Zhang. Quasi-Periodicity and Uniqueness of Meromorphic Functions with $Ac$-Shared Functions[J]. Acta mathematica scientia,Series A, 2026, 46(1): 31-57.

图/表 3

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