| 摘要: |
| 本文利用Gasper 和 Rahman 的一个公式得到了五重积恒等式的一个新有限形式, 进而, 证明了五重积恒等式. 本文还得到一些组合恒等式. |
| 关键词: 五重积恒等式, 有限形式, 组合恒等式, $q$-级数 |
| DOI： |
| 分类号:O173.1 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
|
| A new finite form of the quintuple product identity |
|
ZHU Jun-Ming
|
|
Luoyang Normal University, Department of Mathematics
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| Abstract: |
| A finite form of the quintuple product identity is obtained from one of Gasper and Rahman's identities, and then, the quintuple product identity is proved. Several combinatorial identities are also obtained. |
| Key words: quintuple product identity, finite form, combinatorial identity, $q$-series |
