Multi-sum Rogers-Ramanujan type identities

被引：4
|
作者：
Cao, Zhineng [1 ]
Wang, Liuquan [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 522卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Rogers-Ramanujan type identities; Sum-product identities; Kanade-Russell identities; Partitions; Integral method; CAPPARELLIS;
D O I：
10.1016/j.jmaa.2022.126960
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite products. The method used here is motivated by Rosengren's proof of the Kanade-Russell identities.(c) 2022 Elsevier Inc. All rights reserved.
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页数：24
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