17 citations · 40 across the 4 of their papers we have counts for
4 papers
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
Sergey Berezin, Arno B. J. Kuijlaars, Iván Parra
A recent result of S.-Y. Lee and M. Yang states that the planar orthogonal polynomials orthogonal with respect to a modified Gaussian measure are multiple orthogonal polynomials of…
Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels
Gernot Akemann, Markus Ebke, Iván Parra
Non-Hermitian random matrices with symplectic symmetry provide examples for Pfaffian point processes in the complex plane. These point processes are characterised by a matrix value…
Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane
G. Akemann, T. Nagao, I. Parra +1
We show that several families of classical orthogonal polynomials on the real line are also orthogonal on the interior of an ellipse in the complex plane, subject to a weighted pla…
Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality
Taro Nagao, Gernot Akemann, Mario Kieburg +1
We investigate a one-parameter family of Coulomb gases in two dimensions, which are confined to an ellipse, due to a hard wall constraint, and are subject to an additional external…