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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) |
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PROPERTIES AND UNIQUENESS THEOREMS OF BICOMPLEX HOLOMORPHIC FUNCTIONS |
Hu Ting,Dai Binlin
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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 |