Asymptotics for extremal polynomials with varying measures

In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form d n = d/|Y n| p, where is a positive measure on a closed analytic Jordan curve C, and {Y n} is a sequence of polynomials such that for each n, Y n has exactly degree n and all its zeros ( n, i), i = 1, 2, ..., lie in the exterior of C. Copyright © 2005, Kent State University.