| 阶乘幂多项式及其基本恒等式 |
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| 引用本文： | 孙建新. 阶乘幂多项式及其基本恒等式[J]. 绍兴文理学院学报, 2004, 24(7): 34-37 |
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| 作者姓名： | 孙建新 |
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| 作者单位： | 绍兴文理学院,信息与计算机系,浙江,绍兴,312000 |
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| 摘 要： | 考虑两类阶乘幂多项式，由向前或向后差分公式，得到两个同类阶乘幂多项式等价的充分必要条件．给出并证明了阶乘幂代数系统的两类基本恒等式，一类是阶乘幂的二项式定理；另一类是同阶阶乘幂之差的因式分解定理(乘方差定理)．
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| 关 键 词： | 递升阶乘幂 递减阶乘幂 阶乘幂多项式 阶乘幂二项式定理 乘方差因子分解factorial powers定理 恒等式 |
| 文章编号： | 1008-293X(2004)07-0034-04 |
| 修稿时间： | 2003-10-23 |
The Polynomial of Factorial Powers and It''''s Basic Identities |
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| Sun Jianxin. The Polynomial of Factorial Powers and It''''s Basic Identities[J]. Journal of Shaoxing College of Arts and Sciences, 2004, 24(7): 34-37 |
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| Authors: | Sun Jianxin |
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| Abstract: | Considering two types of factorial polynomials,the sufficient and necessary condition on which two factorial polynomials are identical is obtained.Two theorems of basic identities: binomial theorem and factoring theorem of factorial powers are presented and proved. |
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| Keywords: | increasing factorial power decreasing factorial power factorial polynomial binomial theorem of factorial powers factoring theorem of difference of factorial powers |
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