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arxiv: 1509.04542 · v2 · pith:2NUFMA4Enew · submitted 2015-09-15 · 🧮 math.CA

Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials

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keywords polynomialsasymptoticdistributionmultiplejacobi-pilaguerreneirozero
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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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