D. Dai

activity

20082023

most citedPainlevé V and a Pollaczek-Jacobi type orthogonal polynomials

57 citations · 241 across the 25 of their papers we have counts for

collaborators

Showing 2014 · math.CAShow all

2 papers · 2 filters

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 ${ϕ_{n} (z)}$ arising from nonlinear coherent states in quantum optics. Based on the three-term recurrence relation only,…

math.CA2014★ 4 cited

Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao

In this paper, we consider the Hankel determinants associated with the singularly perturbed Laguerre weight $w (x) = x^{α} e^{- x - t / x}$ , $x \in (0, \infty)$ , $t > 0$ and $α > 0$ . When the matr…