27 citations · 62 across the 20 of their papers we have counts for
4 papers · 1 filter
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Dan Dai, Weiying Hu, Xiang-Sheng Wang
In this paper, we study a family of orthogonal polynomials arising from nonlinear coherent states in quantum optics. Based on the three-term recurrence relation only,…
Calculating the day of the week: null-days algorithm
Xiang-Sheng Wang
In this paper, we propose a new algorithm of calculating the day of the week for any given century, year, month and day in Gregorian calendar. We provide two simple formulas to con…
Plancherel-Rotach Asymptotics of Second-Order Difference Equations with Linear Coefficients
Xiang-Sheng Wang
In this paper, we provide a complete Plancherel-Rotach asymptotic analysis of polynomials that satisfy a second-order difference equation with linear coefficients. According to the…
Traveling Wave Phenomena in a Kermack-McKendrick SIR model
Haiyan Wang, Xiang-Sheng Wang
We study the existence and nonexistence of traveling waves of general diffusive Kermack-McKendrick SIR models with standard incidence where the total population is not constant. Th…