3 papers
math.NT2026
Anderson generating function of rank-one Drinfeld Module over rational function fields
Chuangqiang Hu, Xiao-Min Huang, Stephen S. -T. Yau
We establish a fundamental breakthrough in rank-one Drinfeld module arithmetic by deriving explicit formulas over the integral domain $\A = H^{0}(\mathbb{P}^1-P_ρ, \mathcal{O}_{\ma…
math.CA2025
Error bounds for the asymptotic expansions of the Jacobi polynomials
Xiao-Min Huang, Yu Lin, Xiang-Sheng Wang +1
This paper aims to derive explicit and computable error bounds for the asymptotic expansion of the Jacobi polynomials as their degree approaches infinity, using an integral method.…
math.CA2019
Asymptotics of the Charlier polynomials via difference equation methods
Xiao-Min Huang, Yu Lin, Yu-Qiu Zhao
We derive uniform and non-uniform asymptotics of the Charlier polynomials by using difference equation methods alone. The Charlier polynomials are special in that they do not fit i…