On Andrews--Warnaar's identities of partial theta functions

2017/09/21 by Jin Wang, Wang, Jin, Xinrong Ma +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Primary 05A30 #Secondary 33D15

paper · pdf · doi:10.48550/arxiv.1709.07389

openalex publication_date 2017/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, et al. 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.

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