57 citations · 241 across the 25 of their papers we have counts for
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math-ph2013★ 53 cited
Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
In this paper, we study the singularly perturbed Laguerre unitary ensemble with , $x\in (0…
math.CA2013★ 7 cited
Existence and Uniqueness of Tronquée Solutions of the Third and Fourth Painlevé Equations
Yu Lin, Dan Dai, Pieter Tibboel
It is well-known that the first and second Painlevé equations admit solutions characterised by divergent asymptotic expansions near infinity in specified sectors of the complex pla…
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…