| 泛复变函数的无穷可微性 |
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| 引用本文： | 马忠泰. 泛复变函数的无穷可微性[J]. 山东师范大学学报(自然科学版), 1990, 5(4): 24-28 |
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| 作者姓名： | 马忠泰 |
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| 作者单位： | 山东师大数学系 |
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| 摘 要： | 本文术仅证明了泛复数空间s(e)中的解析泛复变函数无穷可微,而且还指出了解析泛复函可表为幂级数以及其幂级数的余项具有与实函相同的形式。
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| 关 键 词： | 泛复变函数 无穷可微 解析泛复函 |
THE LIMITLESS DIFFERENTIABILITY OF HYPERCOMPLEX FUNCTIONS |
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| Ma Zhongtai. THE LIMITLESS DIFFERENTIABILITY OF HYPERCOMPLEX FUNCTIONS[J]. Journal of Shandong Normal University(Natural Science), 1990, 5(4): 24-28 |
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| Authors: | Ma Zhongtai |
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| Affiliation: | Degartment of Mathematics |
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| Abstract: | This paper shows that analytical hypercomplex functions are differentiable limitlessly in hypercomplex space S(e), It also shows that the analytical hypercomplex functions are repre-sentable by power series, and the remainder of power series has the same form as that for real functions. |
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| Keywords: | hypercomplex space S(e) hypercomplex functions differentiable hypercomplex functions |
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