| 一种建立和求解递归关系的方法 |
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| 引用本文： | 吴慧莲.一种建立和求解递归关系的方法[J].大学数学,1995(2). |
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| 作者姓名： | 吴慧莲 |
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| 作者单位： | 重庆邮电学院 |
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| 摘 要： | 本文利用有限差分算子和组合恒等式为工具，给出了线性递归关系中序列｛ａｎ｝求解的新方法，与原来特征多项式法比较，它有两点好处；其一是简化了计算的过程；其二是避免了建立递归关系时复杂的推导。
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| 关 键 词： | 无重组合数，线性递归关系，差分算子 |
A New Method on Establishing and Solving Recursive Relations |
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| Wu Huilian.A New Method on Establishing and Solving Recursive Relations[J].College Mathematics,1995(2). |
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| Authors: | Wu Huilian |
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| Institution: | Chong qing University of Posts and Communications |
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| Abstract: | In this paper we put forward a new method on solution of sequence {an} in linear recursive relations by finite difference operators and combinatorial equalities. The new method has two advantages in contrast to general characterisitic polymomial method. The first computational process in simplified; the second complicated inference is avoied in setting up recursive relations. |
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| Keywords: | combinatorial number without repetition linear recuraive relation difference operator |
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