ISRMT Seminar: Asymptotics of q-orthogonal polynomials

This talk focuses on q-orthogonal polynomials, orthogonal polynomials whose orthogonality condition is supported on the discrete lattice: q^k, for integer k . We investigate the behaviour of such polynomials in the case k>0 (q<1) and, if time permits, we study what happens when we relax this condition and allow k to be negative. Using the RHP framework we deduce the asymptotic behaviour of these polynomials as their degree tends to infinity, as well as other properties such as uniqueness.

A recording of the talk can be found at https://youtu.be/5HTbvRjAtbk