| 摘要: |
| 本文研究了双复全纯函数的性质，得到了双复全纯函数退化为常数的几个充分必要条件，
将经典的复变函数唯一性定理推广到双复变函数情形，并且给出了一些应用. |
| 关键词: 双复数 双复全纯函数 唯一性定理 |
| DOI： |
| 分类号:O174.5 |
| 基金项目:国家自然科学基金(11771266) |
|
| PROPERTIES AND UNIQUENESS THEOREMS OF BICOMPLEX HOLOMORPHIC FUNCTIONS |
|
Hu Ting, Dai Binlin
|
|
Shanghai University of Finance and Economics
|
| Abstract: |
| This article investigates the properties of bicomplex analytic functions, obtaining several necessary and sufficient conditions for a bicomplex holomorphic function reduces to a constant function. It also extends the classical uniqueness theorem of complex variable functions to the case of bicomplex variable functions, and provides some applications. |
| Key words: Bicomplex number Bicomplex holomorphic function Uniqueness theorem |
