Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson?s Bailey pair

被引：4

作者：

Yao, Olivia X. M. ^{[1
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS | 2022年 / 140卷

基金：

中国国家自然科学基金;

关键词：

Partitions; Truncated sums; Heck-Rogers type identities; Bailey pair; Inequalities of partitions; SERIES;

D O I：

10.1016/j.aam.2022.102388

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Wang and Yee proved three truncated sums for some Hecke-Rogers type identities. Motivated by the work of Wang and Yee, we derive five new Hecke-Rogers type identities and pose their truncated sums based on AndrewsHickerson's Bailey pair and a lemma given by Wang and Yee in this paper. As applications, we deduce several infinite families of linear inequalities for certain restricted partition functions. Additionally, we provide a unified treatment of some truncated identities due to Wang-Yee and He by employing Andrews-Hickerson's Bailey pair.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：28

共 3 条

[1] The Bailey transform and Hecke-Rogers identities for the universal mock theta functions
Ji, Kathy Q.
Zhao, Alice X. H.
ADVANCES IN APPLIED MATHEMATICS, 2015, 65 : 65 - 86
[2] Infinite families of Hecke-Rogers type series and their truncated representations
Xia, Ernest X. W.
ADVANCES IN APPLIED MATHEMATICS, 2022, 137
[3] Exotic Bailey-Slater SPT-functions II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E
Garvan, F. G.
Jennings-Shaffer, C.
ADVANCES IN MATHEMATICS, 2016, 299 : 605 - 639

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