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SUMMARY:Asymptotic analysis of Riemann Hilbert Problems using q calculus -
  Tomas Lasic latimer (University of Sydney)
DTSTART:20221103T155000Z
DTEND:20221103T162000Z
UID:TALK185237@talks.cam.ac.uk
DESCRIPTION:The theory of Riemann-Hilbert Problems (RHP) provides a major 
 tool for investigating the asymptotic behaviours of certain classes of ort
 hogonal polynomials. However\, there remain classes of q-orthogonal polyno
 mials for which the methodology has not been developed. In this talk\, we 
 extend the approach to a class of polynomials that are orthogonal with res
 pect to a compact q-lattice\, i.e.\, q^k\, for positive numbers k (q<1)\, 
 and deduce their asymptotic behaviours in the limit their degree tends to 
 infinity.
LOCATION:Seminar Room 1\, Newton Institute
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