Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0,d), II

Let I=[0,d), where d is finite or infinite. Let Wρ(x)=xρexp(-Q(x)), where and Q is continuous and increasing on I, with limit ∞ at d. We obtain further bounds on the orthonormal polynomials associated with the weight , finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities.