双参数有限q指数算子及其应用 |
| |
引用本文: | 张之正,杨继真.双参数有限q指数算子及其应用[J].数学学报,2010,53(5):1007-1018. |
| |
作者姓名: | 张之正 杨继真 |
| |
作者单位: | 洛阳师范学院数学科学学院 洛阳 471022 |
| |
基金项目: | 国家自然科学基金资助项目(10771093) |
| |
摘 要: | 本文构造两个双参数有限q指数算子,得到了几个算子恒等式;应用这些算子恒等式到著名的q-Chu-Vandermonde求和恒等式,求导了若干奇异的q-级数恒等式,包含著名的Jackson恒等式的一个推广.
|
关 键 词: | q级数 q-指数算子 求和公式及变换公式 |
收稿时间: | 2009-12-30 |
修稿时间: | 2010-04-08 |
Finite q-Exponential Operators with Two Parameters and Their Applications |
| |
Institution: | Department of Mathematics, Luoyang Normal University Luoyang 471022, P. R. China |
| |
Abstract: | The purpose of this paper is to construct two new finite q-exponential operators with two parameters and obtain several operator identities. Applying these operator identities to q-Chu-Vandermonde summation, we derive several curious q-series identities involving a generalization of Jackson's transformation.
|
| |
Keywords: | q-series q-exponential operator summation formula and transformation formula |
|
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|