| 一些新的q-级数恒等式 |
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| 引用本文： | 刘广军,陈静.一些新的q-级数恒等式[J].河南师范大学学报(自然科学版),2012,40(4):32-34. |
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| 作者姓名： | 刘广军 陈静 |
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| 作者单位： | 1. 周口师范学院数学与信息科学系,河南周口,466001
2. 华东师范大学数学系,上海,200062 |
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| 基金项目： | 河南省教育厅科学技术研究重点项目 |
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| 摘 要： | 通过对称的双边Bailey变换证明了两个新的q-级数恒等式;同时利用q-二项式定理和发生函数法,建立了几个和式的递推关系,并利用已有的q-级数恒等式得到了Ramanujan恒等式的一般形式.
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| 关 键 词： | 对称的双边Bailey变换 q-级数恒等式 Ramanujan恒等式 发生函数 |
Some New Identities of q-series |
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| LIU Guang-jun
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CHEN Jing.Some New Identities of q-series[J].Journal of Henan Normal University(Natural Science),2012,40(4):32-34. |
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| Authors: | LIU Guang-jun CHEN Jing |
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| Institution: | 1.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China;2.Department of Mathematics,East China Normal University,Shanghai 200062,China) |
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| Abstract: | Two q-series identities were proved by symmetrical and bilateral Bailey’s transform.Several recurrence relations of some summations are established by employing generating functions and q-binomial theorem.A normal form of Ramanujan’s identity was given with q-series identities. |
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| Keywords: | symmetrical and bilateral Bailey’s transform identities of q-series Ramanujan’s identity generating function |
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