Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials

Yang, Meng;Lee, Seung-Yeop
(2018) arXiv — (2018)

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  • Yang, MengUCLouvain
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  • Lee, Seung-YeopUniversity of South Florida (USA)
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Abstract
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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Yang, M., & Lee, S.-Y. (2018). Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials. arXiv. Submitted. https://hdl.handle.net/2078.5/22474 (Original work published 2018)