| 关于Clifford连分式的三项递推关系和 Pincherle's 定理 |
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| 引用本文： | 李永群.关于Clifford连分式的三项递推关系和 Pincherle''''s 定理[J].数学进展,2008,37(1):15-24. |
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| 作者姓名： | 李永群 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,湖南,410082 |
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| 基金项目： | 国家自然科学基金
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河南省自然科学基金
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教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 本文建立了Clifford连分式的三项递推关系和Pincherle's定理,并给出了它们的应用,也获得了关于Clifford连分式的矩阵递推关系的最小解的几个性质.
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| 关 键 词： | Clifford连分式 三项递推关系 Pincherle's定理 应用 最小解 Clifford valued continued fraction three-term recurrence relations Pincherle's theorem application minimal solution Clifford 连分式 递推关系 定理 Recurrence Relations Continued Fractions Valued properties minimal solution matrix applications theorem established valued continued fractions recurrence relations paper 性质 最小解 矩阵 |
| 文章编号： | 1000-0917（2008）01-0015-10 |
| 收稿时间： | 2006-10-09 |
| 修稿时间： | 2006-12-07 |
Three-term Recurrence Relations and Pincherle's Theorem for Clifford Valued Continued Fractions |
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| LI Yongqun.Three-term Recurrence Relations and Pincherle''''s Theorem for Clifford Valued Continued Fractions[J].Advances in Mathematics,2008,37(1):15-24. |
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| Authors: | LI Yongqun |
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| Abstract: | In this paper,three-term recurrence relations and Pincherle's theorem are established for Clifford valued continued fractions,and their applications are given. Also several properties of the minimal solution of matrix recurrence relations about Clifford valued continued fractions are obtained. |
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| Keywords: | Clifford valued continued fraction three-term recurrence relations Pincherle's theorem application minimal solution |
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