2 papers
math.CA2025
Orthogonal polynomials in the spherical ensemble with two insertions
Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1
We consider asymptotics of planar orthogonal polynomials (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
math.CA2024
Matrix valued orthogonal polynomials arising from hexagon tilings with 3x3-periodic weightings
Arno B. J. Kuijlaars
Matrix valued orthogonal polynomials (MVOP) appear in the study of doubly periodic tiling models. Of particular interest is their limiting behavior as the degree tends to infinity.…