Asymptotic behaviours of q-orthogonal polynomials from a q-Riemann Hilbert Problem

Nalini Joshi, Tomas Lasic Latimer

We describe a Riemann-Hilbert problem for a family of $q$-orthogonal polynomials, $\{P_n(x){\}}_{n=0}^{\infty }$, and use it to deduce their asymptotic behaviours in the limit as the…