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

Let I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuous and increasing on I, with limit ∞ at d. We study the orthonormal polynomials associated with the weight Wρ2, obtaining bounds on the orthonormal polynomials, zeros, and Christoffel functions. In addition, we obtain restricted range inequalities.