| 关于多项式多重卷积利用差分与移位算子的计值法 |
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| 引用本文： | 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 |
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| 作者姓名： | 徐利治 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 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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| 关 键 词： | convolved polynomial sum difference operator classical special polynomial symbolic computation |
| 收稿时间： | 2015-04-20 |
| 修稿时间： | 2015-07-08 |
On the Evaluation of Multifold Convolutions of Polynomials Using Difference and Shift Operators |
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| Leetch C. HSU. On the Evaluation of Multifold Convolutions of Polynomials Using Difference and Shift Operators[J]. Journal of Mathematical Research with Applications, 2015, 35(5): 493-504 |
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| Authors: | Leetch C. HSU |
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| Affiliation: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | 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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| Keywords: | convolved polynomial sum difference operator classical special polynomial symbolic computation |
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