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| 摘要: |
| 本文研究了双复全纯函数的性质, 利用了对比的方法,获得了双复全纯函数退化为常数的几个充分必要条件,推广了经典的复变函数唯一性定理,得到了双复函数的唯一性定理, 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:国家自然科学基金资助(11771266). |
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| PROPERTIES AND UNIQUENESS THEOREMS OF BICOMPLEX HOLOMORPHIC FUNCTIONS |
|
HU Ting,DAI Bin-lin
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| Abstract: |
| In this paper, the properties of bicomplex holomorphic functions are studied. By using the method of contrast, some necessary and sufficient conditions for the degeneration of bicomplex holomorphic functions to constants are obtained. |
| Key words: Bicomplex number Bicomplex holomorphic function uniqueness theorem |
