q-hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem

被引：0

作者：

Warnaar, SO ^{[1
]}

机构：

[1] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia

来源：

RAMANUJAN JOURNAL | 2004年 / 8卷 / 04期

关键词：

basic hypergeometric series; triple product identity; Lebesgue's identity; Euler's pentagonal number theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series identities recently discovered by Alladi and Berkovich, and Berkovich and Garvan.

引用

页码：467 / 474

页数：8

共 47 条

[1] Q-hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem
Warnaar S.O.
The Ramanujan Journal, 2005, 8 (4) : 467 - 474
[2] Euler’s Pentagonal Number Theorem and the Rogers-Fine Identity
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[3] Euler's Pentagonal Number Theorem and the Rogers-Fine Identity
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[4] New polynomial analogues of Jacobi's triple product and Lebesgue's identities
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