43 citations
- American Astronomical SocietyUS2 papers
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- Royal Astronomical SocietyGB2 papers
- Texas A&M UniversityUS2 papers
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- Adirondack Medical CenterUS1 paper
- Applied Science Associates (United States)US1 paper
- Arizona State UniversityUS1 paper
- Astronomical Institute of the Slovak Academy of SciencesSK1 paper
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math.CA2014★ 5 cited
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,…
math.CA2014
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…
math.CA2013
Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
We study the Plancherel--Rotach asymptotics of four families of orthogonal polynomials, the Chen--Ismail polynomials, the Berg-Letessier-Valent polynomials, the Conrad--Flajolet po…