Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials
Mathematical Physics
2019-09-04 v3 math.MP
Abstract
We show that the planar orthogonal polynomials with logarithmic singularities in the potential are the multiple orthogonal polynomials (Hermite-Pad\'e polynomials) of Type II with measures. We also find the ratio between the determinant of the moment matrix corresponding to the multiple orthogonal polynomials and the determinant of the moment matrix from the original planar measure.
Cite
@article{arxiv.1801.01084,
title = {Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials},
author = {Seung-Yeop Lee and Meng Yang},
journal= {arXiv preprint arXiv:1801.01084},
year = {2019}
}