Two generalizations of Jacobi's triple product identity and their applications

被引：0
|
作者：
Wei, Chuanan [1 ,2 ]
Yu, Yuanbo [2 ]
Hu, Qiuxia [3 ]
机构：
[1] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Hainan, Peoples R China
[2] Hainan Med Univ, Sch Biomed Informat & Engn, Haikou 571199, Hainan, Peoples R China
[3] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China
来源：
RAMANUJAN JOURNAL | 2023年 / 60卷 / 04期
关键词：
Jacobi's triple product identity; Rogers-Ramanujan identities; Mock theta functions; MOCK THETA-FUNCTIONS; TRANSFORMATION;
D O I：
10.1007/s11139-022-00640-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In terms of Andrews' series rearrangement method, we establish two generalizations of Jacobi's triple product identity. Their applications to mock theta functions and Rogers-Ramanujan identities are also discussed.
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收藏
页码：925 / 937
页数：13
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