| 徐利治.关于多项式多重卷积利用差分与移位算子的计值法[J].数学研究及应用,2015,35(5):493~504 |
| 关于多项式多重卷积利用差分与移位算子的计值法 |
| On the Evaluation of Multifold Convolutions of Polynomials Using Difference and Shift Operators |
| 投稿时间：2015-04-20 修订日期：2015-07-08 |
| DOI：10.3770/j.issn:2095-2651.2015.05.003 |
| 中文关键词: 多项式卷积和 差分算子 经典特殊多项式 符号演算 |
| 英文关键词:convolved polynomial sum difference operator classical special polynomial symbolic computation |
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| 中文摘要: |
| 本文进一步研究了关于计算多项式多重卷积的一种算子方法.文中给出了关于方法的一般表述形式以及对早先结果的改进;还提供了多个含有著名特殊多项式的卷积和的新的应用例子.通过具体例子表明了使用算子的方法有着便利与有效性.最后,对于具有两种类型的求和公式的卷积多项式作了简明论述. |
| 英文摘要: |
| Here concerned and further investigated is a certain operator method for the computation of convolutions of polynomials. We provide a general formulation of the method with a refinement for certain old results, and also give some new applications to convolved sums involving several noted special polynomials. The advantage of the method using operators is illustrated with concrete examples. Finally, also presented is a brief investigation on convolution polynomials having two types of summations. |
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