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

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Showing 2008 · math.CAShow all

2 papers · 2 filters

math.CA2008★ 57 cited

Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials

Yang Chen, Dan Dai

We study a sequence of polynomials orthogonal with respect to a one parameter family of weights $$ w(x):=w(x,t)=\rex^{-t/x}\:x^{\al}(1-x)^{\bt},\quad t\geq 0, $$ defined for $x\in[…

math.CA2008

Painleve IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight

Dan Dai, Arno B. J. Kuijlaars

We study polynomials that are orthogonal with respect to the modified Laguerre weight $z^{- n + ν} e^{- N z} (z - 1)^{2 b}$ in the limit where $n, N \to \infty$ with $N / n \to 1$ and $ν$ …