4 papers
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…
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…
Numerical calculation of the -space second Chern number in four dimensions
Xiang Liu, Xiao-Xia Yi, Zheng-Rong Liu +2
We propose an efficient numerical method to compute the -space second Chern number in four-dimensional (4D) topological systems. Our approach employs an adaptive mesh refinement…
Bilateral Bailey pairs and Rogers-Ramanujan type identities
Xiangxin Liu, Lisa Hui Sun
Rogers-Ramanujan type identities occur in various branches of mathematics and physics. As a classic and powerful tool to deal with Rogers-Ramanujan type identities, the theory of B…