7 citations · 11 across the 3 of their papers we have counts for
3 papers
math.CA2019★ 4 cited
Orthogonal polynomials in and on a quadratic surface of revolution
Sheehan Olver, Yuan Xu
We present explicit constructions of orthogonal polynomials inside quadratic bodies of revolution, including cones, hyperboloids, and paraboloids. We also construct orthogonal poly…
math.CA2018★ 7 cited
Recurrence relations for orthogonal polynomials on a triangle
Sheehan Olver, Alex Townsend, Geoff Vasil
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to recurrence relations for Jacobi po…
math.PR2017
Evidence of the Poisson/Gaudin-Mehta phase transition for banded matrices on global scales
Sheehan Olver, Andrew Swan
We prove that the Poisson/Gaudin--Mehta phase transition conjectured to occur when the bandwidth of an symmetric banded matrix grows like is observable as a…