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

[41] Jacobi’s Triple-Product Identity and an Associated Family of Theta-Function Identities
H. M. Srivastava
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S. Chaudhary
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Mathematical Notes, 2022, 112 : 755 - 762
[42] Jacobi's Triple-Product Identity and an Associated Family of Theta-Function Identities
Srivastava, H. M.
Chaudhary, M. P.
Chaudhary, S.
Salilew, G. A.
MATHEMATICAL NOTES, 2022, 112 (5-6) : 755 - 762
[43] Some Theta-Function Identities Related to Jacobi's Triple-Product Identity
Srivastava, H. M.
Chaudhary, M. P.
Chaudhary, Sangeeta
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (01): : 1 - 9
[44] A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity
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M. P. Chaudhary
S. Chaudhary
Russian Journal of Mathematical Physics, 2020, 27 : 139 - 144
[45] A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi's Triple-Product Identity
Srivastava, Hari Mohan
Srivastava, Rekha
Chaudhary, Mahendra Pal
Uddin, Salah
MATHEMATICS, 2020, 8 (06)
[46] Relations between Rα, Rβ and Rm functions related to Jacobi's triple-product identity and the family of theta-function identities
Chaudhary, M. P.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (02) : 1 - 11
[47] A FAMILY OF THETA-FUNCTION IDENTITIES BASED UPON Rα, Rβ AND Rm-FUNCTIONS RELATED TO JACOBI'S TRIPLE-PRODUCT IDENTITY
Chaudhary, Mahendra Pal
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2020, 108 (122): : 23 - 32

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