| 双变量基本超几何级数的若干变换与求和公式 |
| |
| 引用本文： | 张之正,胡秋霞.双变量基本超几何级数的若干变换与求和公式[J].数学研究及应用,2009,29(6):1029-1034. |
| |
| 作者姓名： | 张之正 胡秋霞 |
| |
| 作者单位： | 洛阳师范学院数学科学学院, 河南 洛阳 471022;河南师范大学数学与信息科学学院, 河南 新乡 450001 |
| |
| 基金项目： | 国家自然科学基金(No.10771039);河南省教育厅自然科学基金(No.2007110025). |
| |
| 摘 要： | The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained.
|
| 关 键 词： | 基本超几何级数 求和公式 二元 转型 转换公式 |
| 收稿时间： | 2007/12/2 0:00:00 |
| 修稿时间： | 2008/5/21 0:00:00 |
On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series |
| |
| ZHANG Zhi Zheng and HU Qiu Xia.On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series[J].Journal of Mathematical Research with Applications,2009,29(6):1029-1034. |
| |
| Authors: | ZHANG Zhi Zheng and HU Qiu Xia |
| |
| Institution: | Department of Mathematics, Luoyang Teachers' College, Henan 471022, China;College of Mathematics and Information Science, Henan Normal University, Henan 450001, China |
| |
| Abstract: | The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained. |
| |
| Keywords: | basic hypergeometric series Watson's $q$-Whipple transformation series rearrangement |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
