3 papers
math.CO2026
Double-sum Rogers-Ramanujan type identities
Duanyu Chen, Xiangxin Liu, Lisa Hui Sun
As the -analog of Chebyshev polynomials, -Hermite polynomials form a cornerstone in the family of -orthogonal polynomials, which play a fundamental role in quantum algebra…
math.CO2026
Asymmetric bilateral Bailey pairs and Rogers-Ramanujan type identities
Xiangxin Liu, Lisa Hui Sun
The theory of Bailey's transform provides a systematic method for deriving -identities, the key factor of which is the Bailey pair. The concept of Bailey pair was first extended…
math.CO2019
An extension of the Andrews-Warnaar partial theta function identity
Lisa Hui Sun
In this paper, by applying a range of classic summation and transformation formulas for basic hypergeometric series, we obtain a three-term identity for partial theta functions. It…