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math.CA2021★ 1 cited
Uniform asymptotics for the discrete Laguerre polynomials
Dan Dai, Luming Yao
In this paper, we consider the discrete Laguerre polynomials orthogonal with respect to the weight function supported on the infinite nodes $L_…
math.CA2017★ 1 cited
On the quasi-Ablowitz-Segur and quasi-Hastings-McLeod solutions of the inhomogeneous Painlevé II equation
Dan Dai, Weiying Hu
We consider the quasi-Ablowitz-Segur and quasi-Hastings-McLeod solutions of the inhomogeneous Painlevé II equation $$ u"(x)=2u^3(x)+xu(x)-α\qquad \textrm{for } α\in \mathbb{R} \tex…