Hankel determinant and orthogonal polynomials arising from the matrix model in 2D quantum gravity

Chao Min, Yadan Ding

We study the Hankel determinant and orthogonal polynomials with respect to the two-parameter weight function $$ w(x)=w(x;t_1, t_2):=\exp(-x^6-t_2 x^4-t_1 x^2),\qquad x\in\mathbb{R}…