| 一个含四个独立基的变换公式及其应用 |
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| 引用本文： | 张玉森,王天明.一个含四个独立基的变换公式及其应用[J].数学研究与评论,2003,23(2):247-252. |
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| 作者姓名： | 张玉森 王天明 |
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| 作者单位： | 大连理工大学应用数学系,辽宁,大连,116024 |
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| 摘 要： | 本文利用反演的方法得到了一个四个独立基的变换公式并由此得到了几个新的基本超几何级数求和公式和超几何级数求和公式.
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| 关 键 词： | 反演关系 基本超几何级数 双基求和公式 变换公式 |
| 收稿时间： | 2001/12/5 0:00:00 |
A Formula Containing Four Independent Bases and Its Applications |
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| ZHANG Yu-sen and WANG Tian-ming.A Formula Containing Four Independent Bases and Its Applications[J].Journal of Mathematical Research and Exposition,2003,23(2):247-252. |
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| Authors: | ZHANG Yu-sen and WANG Tian-ming |
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| Institution: | Dept. of Appl. Math.; Dalian University of Technology; Liaoning; China;Dept. of Appl. Math.; Dalian University of Technology; Liaoning; China |
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| Abstract: | A transformation formula containing four independent bases is found by a special inversion formula and it is applied to derive a few summation formulas for basic hypergeometric series only by elementary method. The hypergeometric series, the limits of those formulas are also obtained. |
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| Keywords: | inverse relations basic hypergeometric series bibasic summation formulas transformation formulas |
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