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

Let I = [0, d), where d is finite or infinite. Let W-rho (x) = x(rho) exp (- Q (x)), where rho > - 1/2 and Q is continuous and increasing on I, with limit infinity at d. We obtain further bounds on the orthonormal polynomials associated with the weight W-rho(2), finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities. (C) 2005 Elsevier Inc. All rights reserved.