Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
classification
🧮 math.CA
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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