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关于Clifford连分式的三项递推关系和Pincherle’s定理(英文)
Three-term Recurrence Relations and Pincherle's Theorem for Clifford Valued Continued Fractions

李永群;
LI Yongqun

湖南大学数学与计量经济学院 长沙,湖南,410082
(College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P. R. China

收稿日期: 2008-02-25
出版日期: 2008-02-25

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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.
关键词 Clifford连分式三项递推关系Pincherle’s定理应用最小解    
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.
Key words three-term recurrence relations    Pincherle's theorem    application    minimal solution
[1] 闻国椿. 偏微分方程的函数论方法及应用和计算(英文)[J]. 数学进展, 1993, 22(5): 391-401.
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