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Asymptotic analysis of Riemann Hilbert Problems using q calculus

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AR2W02 - Mathematics of beyond all-orders phenomena

The theory of Riemann-Hilbert Problems (RHP) provides a major tool for investigating the asymptotic behaviours of certain classes of orthogonal polynomials. However, there remain classes of q-orthogonal polynomials for which the methodology has not been developed. In this talk, we extend the approach to a class of polynomials that are orthogonal with respect to a compact q-lattice, i.e., q^k, for positive numbers k (q

This talk is part of the Isaac Newton Institute Seminar Series series.

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