| 基本超几何级数--恒等式快速入门 |
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| 引用本文： | 初文昌,王晓霞.基本超几何级数--恒等式快速入门[J].数学研究与评论,2008,28(2):223-250. |
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| 作者姓名： | 初文昌 王晓霞 |
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| 作者单位： | 大连理工大学应用数学系, 辽宁 大连 116024; 意大利LECCE大学;上海大学数学系, 上海 200444 |
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| 基金项目： | Foundation item:Group GNSAGA(Italy). |
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| 摘 要： | 基本超几何级数之重要性已被学术界广泛认识.关于这一迅速发展的学科分支,多数读者更加需要介绍性文章.作者将沿着这一方向作一尝试.
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| 关 键 词： | Basic hypergeometric series Heine's tranformation Watson's transformation Jacobi's triple product identity Rogers-Ramanujan identities. 基本超几何级数 恒等式 快速 Identities Access effort direction present article quick introduction subject importance basic hypergeometric series widely |
| 收稿时间： | 2006/6/13 0:00:00 |
| 修稿时间： | 2006年6月13日 |
Basic Hypergeometric Series---Quick Access to Identities |
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| CHU Wen Chang and WANG Xiao Xia.Basic Hypergeometric Series---Quick Access to Identities[J].Journal of Mathematical Research and Exposition,2008,28(2):223-250. |
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| Authors: | CHU Wen Chang and WANG Xiao Xia |
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| Institution: | 1. Department of Applied Mathematics,Dalian University of Technology,Liaoning 116024,China;Dipartimento Di Matematica,Universit(a) Degli Studi Di Lecce,Lecce-Arnesano P.O.Box 193,73100 Lecce,Italia
2. Department of Mathematics,Shanghai University,Shanghai 200444,China |
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| Abstract: | The importance of basic hypergeometric series has been widely recognized.For non specialists,it is necessary to have a quick introduction to this classical but flourishing subject.An effort along this direction will be made in the present article. |
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| Keywords: | Basic hypergeometric series Heine's tranformation Watson's transformation Jacobi's triple product identity Rogers-Ramanujan identities |
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