Siam journal on mathematical analysis vol:32 issue:5 pages:1169-1170
In [W. Van Assche, SIAM J. Math. Anal., 16 (1985), pp. 1317-1334] the second term in the asymptotic expansion of Laguerre polynomials (Perron's formula) was computed and used to obtain some information about the rate of convergence of weighted zero distributions for Laguerre and Hermite polynomials. This second term in Theorem 2.3 and in the appendix of [W. Va Assche, SIAM J. Math. Anal., 16 ( 1985), pp. 1317-1334] is in error. In this note we give the correct expression for this second term and indicate how this affects the results on the rate of convergence for the weighted zero distributions.