Zero Distribution of Orthogonal Polynomials on a q-Lattice

We give the asymptotic behavior of the zeros of orthogonal polynomials, after appropriate scaling, for which the orthogonality measure is supported on the q-lattice {q^k, k=0,1,2,3,...}, where 0 < q < 1. The asymptotic distribution of the zeros is given by the radial part of the equilibrium measure of an extremal problem in logarithmic potential theory for circular symmetric measures with a constraint imposed by the q-lattice.status: publishe