Generalized Freud weight, discrete Painlevé I hierarchy and full asymptotics of Hankel determinants

Wen-Gao Long, Lin-Rong Tang, Chao Min

In this paper, we investigate the monic orthogonal polynomials $P_n(x;T_m;\lambda )$ and the Hankel determinants $D_n(T_m;\lambda )$ associated with the generalized Freud weight \[w(x;T…