| 关于切比雪夫递推方程组的若干研究 |
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| 引用本文： | 李静洁,吴康.关于切比雪夫递推方程组的若干研究[J].汕头大学学报(自然科学版),2012,27(1):5-9,80. |
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| 作者姓名： | 李静洁 吴康 |
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| 作者单位： | 1. 汕头市聿怀中学,广东汕头,515041
2. 华南师范大学数学科学院,广东广州,510631 |
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| 摘 要： | 应用第一类切比雪夫多项式的递推关系及初始值定义了第一类二元一阶切比雪夫递推方程组和多元一阶切比雪夫递推方程组,运用代数变换法和归纳演绎法得到各数列的通项公式,研究了第一类多元一阶切比雪夫递推方程组通项公式的结构及规律.
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| 关 键 词： | 切比雪夫多项式 递推方程组 通项公式 |
Study on Tschebyscheff Recursive Equations |
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| LI Jing-jie,WU Kang.Study on Tschebyscheff Recursive Equations[J].Journal of Shantou University(Natural Science Edition),2012,27(1):5-9,80. |
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| Authors: | LI Jing-jie WU Kang |
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| Institution: | 1. Yuhuai Senior High Sehool, Shantou 515041, Guangdong, China; 2. South China Normal University, Guangzhon 510631, Guangdong, China) |
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| Abstract: | The recurrence relation and initial values of the first Tschebyscheff polynomials are employed to define the binary first-order and multivariate first-order Tschebyscheff recursive equations. Using the methods of algebraic transformation, induction and deduction, the general formula of series is achieved. The structures of general formula of the first multivariate first-order Tschebyscheff reeursive equations are studied. |
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| Keywords: | Tschebyscheff polynomials recursive equations general formula |
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