Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials

Neuschel, Thorsten;et.al.
(2016) Journal of Approximation Theory — Vol. 205, p. 114-132 (2016)

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Authors
  • Neuschel, ThorstenUCLouvain
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  • et. al.
Abstract
We give the asymptotic distribution of the zeros of Jacobi-Pi˜neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of multiple orthogonal polynomials. We show how these asymptotic zero distributions are related to the Fuss-Catalan distribution.
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Neuschel, T., & et al. (2016). Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials. Journal of Approximation Theory, 205, 114-132. https://doi.org/10.1016/j.jat.2016.02.002 (Original work published 2016)