Hau-Wen Huang

activity

20192025

collaborators

3 papers

math.CA2025

A way to treat dual Hahn polynomials as Racah polynomials via the theory of Leonard pairs

Hau-Wen Huang

The dual Hahn polynomials ${u_{i} (x)}_{i = 0}^{d}$ are a family of discrete orthogonal polynomials involving two real parameters $r$ and $s$ . Let $L, L^{*}$ denote the corresponding Leona…

math.RT2024

Verma modules and finite-dimensional irreducible modules of the universal Askey--Wilson algebra at roots of unity

Hau-Wen Huang

Assume that $F$ is an algebraically closed field and fix a nonzero scalar $q \in F$ with $q^{4} \neq = 1$ . The universal Askey--Wilson algebra $△_{q}$ is a unital a…

cs.DS2019

An algorithm to evaluate the spectral expansion

Hau-Wen Huang

Assume that $X$ is a connected $(q + 1)$ -regular undirected graph of finite order $n$ . Let $A$ denote the adjacency matrix of $X$ . Let $λ_{1} = q + 1 > λ_{2} \geq λ_{3} \geq \dots \geq λ_{n}$ denot…