Contracted zero distributions of extremal polynomials associated with slowly decaying weights

We consider the asymptotic zero behavior of polynomials that are extremal w ith respect to slowly decaying weights on [0, infinity), such as the log-no rmal weight exp(-gamma(2) log(2) x). The zeros are contracted by taking the appropriate d(n)th roots with d(n) --> infinity. The limiting distribution of the contracted zeros is described in terms of the solution of an extrem al problem in logarithmic potential theory with a circular symmetric extern al held.