| q-微分算子恒等式的应用 |
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| 引用本文： | 房剑平. q-微分算子恒等式的应用[J]. 华东师范大学学报(自然科学版), 2008, 2008(1): 20-24 |
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| 作者姓名： | 房剑平 |
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| 作者单位： | 华东师范大学,数学系,上海,200062;淮阴师范学院,数学系,江苏,淮安,223300 |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | 改进了Rogers算子并应用新算子给出了Sears变换公式的新证明.另外，还给出了Askey Roy积分公式的几个推广形式.
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| 关 键 词： | q-微分算子 基本超几何级数 Sears变换 |
| 文章编号： | 1000-5641（2008）01-0020-05 |
| 收稿时间： | 2007-05-01 |
| 修稿时间： | 2007-05-01 |
q-Differential operator identity and its applications(Chinese) |
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| FANG Jian-ping. q-Differential operator identity and its applications(Chinese)[J]. Journal of East China Normal University(Natural Science), 2008, 2008(1): 20-24 |
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| Authors: | FANG Jian-ping |
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| Affiliation: | 1. Department of Mathematics, East China Normal University, Shanghai 200062,China; 2. Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223300,China; |
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| Abstract: | This paper generalized the q-exponential operator defined by Rogers. Then used the new operator to give a proof of Sears non-terminating q-series transformation formula. In addition, several extensions of Askey-Roy integral formula were given. |
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