Asymptotics for multiple q-orthogonal polynomials from the RHP

TL;DR

This paper investigates the asymptotic behavior of a broad class of multiple q-orthogonal polynomials as their degree increases, providing insights into their limiting properties.

Contribution

It introduces new asymptotic results for multiple q-orthogonal polynomials using Riemann-Hilbert problem techniques.

Findings

Asymptotic formulas derived for large degrees

Identification of limiting distributions

Extension of classical orthogonal polynomial results

Abstract

We deduce the asymptotic behaviour of a broad class of multiple q-orthogonal polynomials as their degree tends to infinity.