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math-ph2024
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}…
math-ph2024
Generalized Airy polynomials, Hankel determinants and asymptotics
Chao Min, Pixin Fang
We further study the orthogonal polynomials with respect to the generalized Airy weight based on the work of Clarkson and Jordaan [{\em J. Phys. A: Math. Theor.} {\bf 54} ({2021})…