| q-超球多项式与若干Rogers-Ramanujan型恒等式 |
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| 引用本文： | 刘治国.q-超球多项式与若干Rogers-Ramanujan型恒等式[J].数学季刊,2000,15(2):1-5. |
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| 作者姓名： | 刘治国 |
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| 作者单位： | 新乡教育学院数学系!河南新乡453000 |
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| 摘 要： | 利用ｑ－超球多项式的两个简单性质，建立了关于ｑ－级数的两个变换公式，借助这些变换公式并结合著名的Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ恒等式，给出了若干Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ型恒等式的简洁证明。
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| 关 键 词： | q－级数 q－超球多项式 Rogers－Ramanujan型恒等式 |
The q-ultraspherical Polynomials and Some Identities of the Rogers-Ramanujan Type |
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| LIU Zhi-guo.The q-ultraspherical Polynomials and Some Identities of the Rogers-Ramanujan Type[J].Chinese Quarterly Journal of Mathematics,2000,15(2):1-5. |
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| Authors: | LIU Zhi-guo |
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| Abstract: | In this paper, we give two transformation formulas for q _series using two simple properties of q _ultraspherical polynomials. Using these transformations and the well_known Rogers_Ramanujan identities, we provide simple proofs of some identities of the Rogers_Ramanujan type. |
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| Keywords: | q _series q _ultraspherical polynomials identities of the Rogers_Ramanujan type |
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