Seminar
Zero distribution of orthogonal polynomials on a q-lattice
by Walter Van Assche (KU Leuven)
Location: 200B.02.18, Leuven
Time: Tuesday November 19, 2019 at
14:00
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 {qk, 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. This is joint work with Quinten Van Baelen.
