  We study the asymptotic properties of monic orthogonal polynomials (OPs) with
respect to some Freud weights when the degree of the polynomial tends to
infinity, including the asymptotics of the recurrence coefficients, the
nontrivial leading coefficients of the monic OPs, the associated Hankel
determinants and the squares of $L^2$-norm of the monic OPs. These results are
derived from the combination of the ladder operator approach, Dyson's Coulomb
fluid approach and some recent results in the literature.
