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.

引用

页码：925 / 937

页数：13

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