On the Andrews-Warnaar identities for partial theta functions

被引：4
|
作者：
Wang, Jin [1 ]
Ma, Xinrong [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS | 2018年 / 97卷
关键词：
Ramanujan; Partial theta function; Partial theta function identity; Jacobi's triple product; Summation; Transformation; Bailey pair; Bivariate representation; HECKE-ROGERS IDENTITIES; ASYMPTOTIC EXPANSIONS; LOST NOTEBOOK; SERIES; PRODUCT; PARITY; ZEROS;
D O I：
10.1016/j.aam.2018.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we set up a bivariate representation of partial theta functions which not only unifies some famous identities for partial theta functions due to Andrews and Warnaar but also unveils a new characteristic of such identities. As further applications, we establish a general form of Warnaar's identity and a general q-series transformation associated with Bailey pairs via the use of the power series expansion of partial theta functions. (C) 2018 Elsevier Inc. All rights reserved.
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页码：36 / 53
页数：18
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