| Wey1代数中的消元法与q恒等式（英） |
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| 引用本文： | 黄玉娟,王天明. Wey1代数中的消元法与q恒等式（英）[J]. 数学研究及应用, 2004, 24(1): 64-64 |
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| 作者姓名： | 黄玉娟 王天明 |
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| 作者单位： | 大连理工大学;大连理工大学 |
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| 摘 要： | For the algorithmic proof of q-proper-hypergeometric identities, H.Wilf and D.Zeiberg gave a theoretical frame work. In [1], they proved that q-proper-hypergeometric terms satisfy recurrence relations with polynomial coefficients and could obtain quite explicit bounds for the order of such a recurrence. But how can we find the recurrence relations?We consider single-variable q-proper-hypergeometric identities based on Zeilberg's basic idea. To find the recurrence relations, an elimination in the non-commutative Weyl algebra has been developed. Thereby we obtained the algorithm of proving single-variable q-proper-hypergeometric identities.
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| 收稿时间： | 2003-09-30 |
Elimination in Weyl Algebra and q-Identities |
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| HUANG Yu-juan and WANG Tian-ming. Elimination in Weyl Algebra and q-Identities[J]. Journal of Mathematical Research with Applications, 2004, 24(1): 64-64 |
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| Authors: | HUANG Yu-juan and WANG Tian-ming |
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| Affiliation: | Dept. of Appl. Math.; Dalian University of Technology; Liaoning; Chiua;Dept. of Appl. Math.; Dalian University of Technology; Liaoning; Chiua |
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