“…Freud explored other properties, such as the asymptotic behavior of the polynomials using the recurrence coefficients and the asymptotic behavior of the greatest zero [24]. Recent contributions on the asymptotic behavior of the recurrence coefficients associated with Freud-type exponential weights and zeros of the associated polynomials can be found in [2,35,37,41,43,44,45,50,54] Magnus [40] showed that the coefficients in the three-term recurrence relation for the Freud weight ω(x; t) = exp −x 4 + tx 2 , x, t ∈ R, with t ∈ R a parameter, can be expressed in terms of simultaneous solutions, q n , of the discrete equation q n (q n−1 + q n + q n+1 ) + 2tq n = n, (…”