Planar orthogonal polynomials as Type II multiple orthogonal polynomials

@article{Lee2018PlanarOP,
  title={Planar orthogonal polynomials as Type II multiple orthogonal polynomials},
  author={Seung-Yeop Lee and Meng Yang},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2018},
  volume={52}
}
We show that the planar orthogonal polynomials with l logarithmic singularities in the potential are the multiple orthogonal polynomials (Hermite–Padé polynomials) of Type II with l 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. 
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