Yang Chen

activity

19942023

most citedPainlevé V and time dependent Jacobi polynomials

74 citations · 851 across the 80 of their papers we have counts for

collaborators

Showing 2015 · math.CAShow all

3 papers · 2 filters

math.CA2015★ 1 cited

Kernels and point processes associated with Whittaker functions

Gordon Blower, Yang Chen

This article considers Whittaker's function $W_{κ, μ}$ where $κ$ is real and $μ$ is real or purely imaginary. Then $φ (x) = x^{- μ - 1/2} W_{κ, μ} (x)$ arises as the scattering function of a…

math.CA2015★ 17 cited

Perturbed Hankel determinant, correlation functions and Painlevé equations

Min Chen, Yang Chen, Engui Fan

We continue with the study of the Hankel determinant, $D_{n} (t, α, β) := det (\int_{0}^{1} x^{j + k} w (x; t, α, β) d x)_{j, k = 0}^{n - 1},$ generated by a Pollaczek-Jacobi type weigh…

math.CA2015★ 9 cited

Linear Statistics of Matrix Ensembles in Classical Background

Yang Chen, Chao Min

Given a joint probability density function of $N$ real random variables, ${x_{j}}_{j = 1}^{N},$ obtained from the eigenvector-eigenvalue decomposition of $N \times N$ random matrices,…